Question

In Triangle JKL, ∠J is congruent to ∠L. Triangle J K L is shown. Ray L K extends beyond point K to form an exterior angle that is labeled sixty-seven and eight tenths degrees. What is the measure of ∠L? Enter the correct answer in the box.

Answer 1

Answer:

m<L = $33.9^{o}$

Step-by-step explanation:

Triangle JKL is an isosceles triangle, given that <J ≅ <L. An isosceles triangle has two of its angles and sides to be equal.

The exterior angle formed = $67.8^{0}$

But,

<J + <L = $67.8^{0}$ (the sum of two opposite interior angles is equal to the exterior angle)

Let <J ≅ <L be represented by a, so that;

a + a =  $67.8^{0}$

2a = $67.8^{0}$

a = $\frac{67.8^{o} }{2}$

  = $33.9^{o}$

The measure of <L is m<L = $33.9^{o}$ (m<L =

Thus,

m<J ≅ m<L = $33.9^{o}$