Question

identify the pair of complementary angles.
a ∠gjh and ∠kjh
b ∠kjl and ∠ljh

Explanation:

Step1: Recall Complementary Angles

Complementary angles sum to \(90^\circ\). From the diagram, \( \angle KJH \) is a right angle (\(90^\circ\)), so \( \angle KJL + \angle LJH = 90^\circ \) (since they form \( \angle KJH \)).

Step2: Analyze Option A

\( \angle GJH \) and \( \angle KJH \): \( \angle KJH = 90^\circ \), so their sum would be more than \(90^\circ\), not complementary.

Step3: Confirm Option B

\( \angle KJL \) and \( \angle LJH \) form a right angle, so their sum is \(90^\circ\), making them complementary.

Answer:

B. \( \angle KJL \) and \( \angle LJH \)