Question

2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in

KLME is 360 degrees, find a.

Answer 1

a = 60°

Explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

a = 360° - 300°

a = 60°