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How to do this and whats the answer

How to do this and whats the answer-example-1

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5 votes

Answer:

(b) 36 degrees.

Explanation:

K is the center of the circle so triangle KMN is isosceles and m < KMN = m KNM = 26 degrees ( base angles are equal)

So m < LMK = m <LMN - m < KMN

= 98 - 26

= 72 degrees.

Now triangle LKM is also isosceles since K is the center of the circle so

m < LKM = 180 - 2* 72

= 180 - 144

= 36 degrees.

User Emilmont
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