Find the value of angle M. HELP ME PLEASE!!

Mathematics

1 answer:

GenaCL600 [577]2 years ago

7 0

Answer:

96°

Step-by-step explanation:

In a cyclic quadrilateral (one inscribed in a circle), opposite angles are supplementary. That means the angles marked (6m+13)° and (4m+7)° have a total value of 180°:

(6m+13) +(4m+7) = 180

10m +20 = 180 . . . . . . . . collect terms

m +2 = 18 . . . . . . . . . . . . .divide by 10

m = 16 . . . . . . . . . . . . . . . subtract 2

∠M = 6m° = 6·16° . . . . . . . use the value of m in the expression for ∠M

∠M = 96°

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