Question

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°

Answer 1

Answer:

40

Step-by-step explanation:

cuz i said soo

Answer 2

Based on the definition of inscribed angles subtended by the same arc, the measure of arc KL is: B. 40°.

What are Inscribed Angles Subtended by the Same Arc?

If two inscribed angles are subtended by the same arc, then their measures are equal.

Therefore, we have:

angle KJL = angle KML

Substitute

7x - 8 = 3x + 8

7x - 3x = 8 + 8

4x = 16

x = 16/4

x = 4

Measure of arc KL = 2(3x + 8) [inscribed angle theorem]

Plug in the value of x

Measure of arc KL = 2(3(4) + 8)

Measure of arc KL = 40°

Learn more about the inscribed angle on:

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