We need to use the above property in stimulate to find the measure up of the crest angle.
You are watching: The base angle of an isosceles triangle measures 54°. what is the measure of its vertex angle?
Now our triangle is isosceles , that is the two equal sides will be containing equal angle. One of them is offered as 54
And hence the other will likewise be 54.
Let the vertex edge be x
Hence the vertex angle is 72
d. 72 degrees.
The 2 base angle in an isosceles triangle are equal therefore their amount is 2*54 = 108.
Thus the vertex edge = 180 - 108
= 72 degrees.
The sum of the angle presented add up to it is in 108°, and the sum of all three have to be 180°.
Knowing this, us subtract 108 from 180
I hope this helped!
Give the other guy brainliest, eh?
Your girlfriend in answering,
Given : an Isosceles ΔABC in which base angle i.e the angle having actually equal sides measures 54°.
To Find: measure up of vertex angle i.e ∠A
Solution: one Isosceles triangle ΔABC in which
Base angle =∠B= 54°
→ ∠A + 54° + 54° = 180°
→∠A +108° = 180°
→∠A = 180°- 108°
→∠A = 72°
Option (D)72° is true.
Hope this helps :) If you have actually a doubt just comment :)
A triangle constantly has 180 degrees.An isosceles triangle has 2 congruent base angles and 1 crest angle.Base + base + vertex = 18054+ 54+ x = 180108 + x = 180X = 72 72 is the measure up of the peak angle
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