Answer:
m2KJL = 54°
Step-by-step explanation:
In AJKL,
MAJKL = 72°
JK = KL
Since, two sides of AJKL 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 = ZL
By the property of a triangle,
Sum of all interior angles of a triangle is 180°.
m2J + m2K + m2L = 180°
mzJ + 72° + mzJ = 180° [Since, mzJ = mzL]
2mzJ = 180° - 72°
mzJ = 54°
Therefore, mZKJL or mzJ is 54°.
