What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 54° A) 126 B) 72 C) 63 D) 108
An isosceles triangle has congruent base angles, so if one of the base angles measure 54 degrees, then the other base angle does, too.
And a triangle measures up to 180 degrees.
180 = x + 2(54)
180 = x + 108
x = 72
So the answer is B) 72
An isosceles triangle has same base angles
if one of the base angles measure 54 degrees, 2nd is also 54
And a triangle measures up to 180 degrees.
180 = x + 2(54)
180 = x + 108
x = 72
B) 72 is right option
hope this helps