Question

Triangle JKL is isosceles. The measure of angle j is 72 and the measure of angle k is 36 which statement describes angle L?

A) Angle L is a base angle and measures 36

B) Angle L is a base angle and measure 72

C) Angle L is a vertex angle and measures 36

D) Angle L is a vertex angle and measures 72

Answer 1

B) Angle L is a base angle and measures 72.

Answer 2

option B is the correct option.

Explanation:

It is given in the question that triangle JKL is isosceles.

The measure of angle j is 72 and the measure of angle k is 36.

We have to calculate the measure of angle L

Since sum of all angles of a triangle is = 180°

∠J + ∠K + ∠L = 180

72° + 36° + ∠L = 180°

108 + ∠L = 180°

∠L = 180 - 108

∠L = 72°

Since ∠J and ∠L are equal so these two angles will be the base angles.

Therefore, option B is the answer.