consider the quadrilateral formed by the vertices a,b,c and o the centre of the circle

aoc = 40 degrees

at the suggest of call tangents space perpendicular to radius therefore other 2 angles are 90 each.

You are watching: If the measure of arc ac is 160°, what is the measure of angle abc?

hence the 4th angle abc = 360-(90+90+40) =140

(since amount of angle of square is 360)



Answer from: a6igai1

m∠ABC=20°

Step-by-step explanation:

Consider square ABCO. The sum of the actions of all inner angles in square ABCO is equal to 360°.

Lines BA and BC space tangent to the circle, climate the radii OC and also OA space perpendicular to the tangent present BC and BA. Therefore,

m∠BCO=90°;m∠BAO=90°.

The measure up of the edge AOC is 160° (because the measure of arc AC is 160°). So,

m∠ABC+m∠BCO+m∠BAO+m∠AOC=360°,

m∠ABC=360°-(m∠BCO+m∠BAO+m∠AOC)=360°-(90°+90°+160°)=20°.

*


Answer from: chaseashley24

∠ABC = 80°

A is correct.

Step-by-step explanation:

If the measure up of arc AC is 160°.

Angle subtended on one is half the edge subtended at facility on exact same arc.

Please express the attachment because that figure.

Therefore,

*

where, arc AC = 160°

*

*

Hence, the measure of ∠ABC is 80°

*


Answer from: zanaplen27
*


Answer from: esanchez2002fcb
Tangent lines of a circle space lines that just pass one allude on the circle. Due to the fact that you forgot to include the picture, I portrayed my own as what the problem described it to be.One that the theorems of circle is that the measure up of the intercepted arc is double as that of its the contrary angle. In this case, because the intercepted arc steps 160°, then the measure up of angle alphabet is 160/2 = 80°. Therefore, the price is 80°.
*


Answer from: daosau377
The angle formed by the intersection the 2 tangents outside the circle equals fifty percent the distinction of the intercepted arcs.arc AC = 160° (given)arc ADC = 360 - 160 = 200°∠ABC = (200-160)/2= 20° ← answer
*

Answer from: nathaliapachon1254
The answer to the trouble is d.20

Other concerns on the subject: Mathematics


Mathematics, 21.06.2019 23:00, hd14yarnell
Is over there a direction u in i m sorry the rate of adjust of ​f(x, y)equals=x squared minus 3 xy add to 4 y squaredx2−3xy+4y2 at​ p(1,2) equals​ 14? give reasons for your answer. Pick the exactly answer below. A. No. The given rate of readjust is smaller than the minimum price of change. B. No. The given rate of change is bigger than the maximum price of change. C. Yes. The given rate of adjust is bigger than the minimum rate of readjust and smaller than the maximum price of change.
Answers: 2
continue
Mathematics, 21.06.2019 23:50, adanaguirre17
If a projectile is released with one initial velocity the 13 meters every second, what edge is required to accomplish a selection of 15 meters? (see photo below)
Answers: 2
continue
Mathematics, 22.06.2019 00:30, lilyclairehutson
Quadrilateral abcd is rotated 55^circ55 around point rr to develop quadrilateral a"b"c"d"
Answers: 3
continue
Mathematics, 22.06.2019 04:00, Jasten
Question 27 that 28 1 point what is the steep of the line displayed below? (3,-2) (2,-4)
Answers: 1
continue
You know the appropriate answer?
If the measure up of arc ac is 160°, what is the measure up of edge abc?...

Questions in other subjects:


Mathematics, 26.01.2021 01:40
Which mechanism of inequalities has no solution?...
Answers
Physics, 26.01.2021 01:40
The___ the a mirror"s surface ar determines the kind of image it forms....
Answers
Mathematics, 26.01.2021 01:40
5. Mai attempted 40 complimentary throws and also was successful 25% of them. Exactly how many free throws didshe make?...
Answers
Health, 26.01.2021 01:40
Does acupuncture work...
Answers
Biology, 26.01.2021 01:40
How is environmental health related to an individual health?...
Answers
Mathematics, 26.01.2021 01:40
Can you you re welcome answer number 16 and also 18!...
Answers
French, 26.01.2021 01:40
I need assist with inquiries 7,9 and also 10! :)...
Answers
Mathematics, 26.01.2021 01:40
13 14x7 11What is 13/7 time 14/11 equal...
Answers
History, 26.01.2021 01:40
What to be the impacts of the korean War? check all the apply.the remove of the US visibility in southern Koreatwo separate nations on the oriental peninsulaa high numb...
Answers
Spanish, 26.01.2021 01:40
Plz assist I will provide a brainiest...
Answers
More questions: MathematicsAnother questions
See results (0)
The price is not found?
ask an experienced a question
Join now
Email
Password
Your question
Log inForgot your password?
Too short question
Next
Log in
Email
Password
Join nowForgot her password?
Invalid login or password
Log in
You are registered.Access to her account will be opened after verification and also publication of the question.

See more: How Many Potatoes Per Person For French Fries ? How Many Potatoes In A Serving Of French Fries


Next
Password recovery
Email
New password sent out to her email
OkClose
Ask your inquiry to an expert
Your name
Email
Question
Pick a subject
Pick a subjectMathematicsHistoryEnglishBiologyChemistryPhysicsSocial StudiesAdvanced location (AP)SATGeographyHealthArtsBusinessComputers and also TechnologyFrenchGermanSpanishWorld Languages
Your inquiry is as well short
Add photoSend
Question sent to expert. You will receive solution to the email.
OK
Instant accessibility to the price in our app
And millions of other answers 4U without ads
Be smarter, download now!
or
see a couple of ads and unblock the price on the site
You can only asking a concern in the app
Be smarter, download now!