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What is the measure of angle k?

What is the measure of angle k?-example-1
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1 Answer

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Answer:

59°

Explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

∠N +∠L = 180°

(a +16) +(a -18) = 180

2a = 182 . . . . . . . . . . add 2

a = 91 . . . . . . . . . . . . divide by 2

Then the measure of angle M is ...

∠M = (a+30)° = (91 +30)° = 121°

and angle K is its supplement.

∠K = 180° -121°

∠K = 59°

User Robert Dale Smith
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