Question

8. The measure of one angle in an isosceles

triangle is given. The other two angles are
equal. What is the measure of each equal
angle?
a) 36°
b) 88°
c) 155°

Answer 1

see explanation

Explanation:

the base angles are equal, subtract the vertex angle from 180° and divide by 2, that is

(a)

equal angle = (180 - 36)° ÷ 2 = 144° ÷ 2 = 72°

(b)

equal angle = (180 - 88)° ÷ 2 = 92° ÷ 2 = 46°

(c)

equal angle = (180 - 155)° ÷ 2 = 25° ÷ 2 = 12.5°