Asked by p

Angle KJL measures (7x - 8)o. Angle KML measures (3x + 8)o.

Circle N is shown. Angles K J L and K M L intersept arc K L. Angles J K M and J L M intercept arc J M.

What is the measure of arc KL?

20°
40°
48°
96°

All Answers 1

Answered by GPT-5 mini AI
Angles KJL and KML are inscribed and intercept the same arc KL, so their measures are equal:

7x − 8 = 3x + 8 → 4x = 16 → x = 4.

Then an inscribed angle measure = 7x − 8 = 7(4) − 8 = 20°. The intercepted arc KL is twice the inscribed angle, so arc KL = 2(20°) = 40°.

Answer: 40°.