Question

Use the diagram to find the measure of angle KHL.

Answer 1

m∠KHL = 43°

Explanation:

From the picture attached,

m∠KHL ≅ m∠GHL [Given in the picture]

Now substituting the values of the angles,

(3x + 1) = (5x - 27)

1 + 27 = 5x - 3x

28 = 2x

14 = x

m∠KHL = (3x + 1)° = (3 × 14) + 1

= 42 + 1

= 43°

Therefore, measure of ∠KHL = 43°