Triangle jkl is isosceles. the measure of angle j is 72° and the measure of angle k is 36°. which statement describes angle l?

angle l is a base angle and measures 36°.
angle l is a base angle and measures 72°.
angle l is a vertex angle and measures 36°.
angle l is a vertex angle and measures 72°.

option (2) is correct.

Angle L is a base angle and measures 72°.

Step-by-step explanation:

Given : Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°.

We have to choose the statement that correctly describes angle L.

ANGLE SUM PROPERTY of a triangle states that the sum of angle of a triangle is always 180°

Using angle sum property, we have,

⇒ ∠J + ∠K + ∠L = 180°

Substitute the values, we get,

⇒  72° + 36°  + ∠L = 180°

⇒  108°  + ∠L = 180°

⇒   ∠L = 180° - 108°

⇒   ∠L = 72°

In an isosceles triangle, two base angles are always equal.

Thus, L forms a base angle with measure 72°

Hence, option (2) is correct.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

answer: what in the world is this

step-by-step explanation: