Question

△JKL and △LMN are shown.

Answer 1

Answer:

m∠KJL = 54°

Step-by-step explanation:

In ΔJKL,

m∠JKL = 72°

JK ≅ KL

Since, two sides of ΔJKL are congruent, triangle is an isosceles triangle.

By the property of an isosceles triangle,

Opposite angles of the congruent sides of an isosceles triangle are equal in measure.

Therefore, ∠J ≅ ∠L

By the property of a triangle,

Sum of all interior angles of a triangle is 180°.

m∠J + m∠K + m∠L = 180°

m∠J + 72° + m∠J = 180° [Since, m∠J = m∠L]

2m∠J = 180° - 72°

m∠J = 54°

Therefore, m∠KJL or m∠J is 54°.