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?

Answer 1

We know that all triangles equal 180°

To find the missing angle we do this,

∠J + ∠K + ∠L = 180

72° + 36° + ∠L = 180 SUBSTITUTION

108 + ∠L = 180°

180 - 108 = ∠L Property of algebra (Opposite of plus)

∠L = 72°

Answer 2

m<L = 72

Explanation:

In an isosceles triangle, two angles are congruent.

Since we are given two angle measures, one of those measure must be used for two angles.

The angles have to be

36, 36, 72

or

36, 72, 72

The sum of the measure of the angles of a triangle is 180.

36 + 36 + 72 = 144 <------ does not add to 180

36 + 72 + 72 = 180

m<L = 72