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What is the measure of ∠ A in this quadrilateral?

What is the measure of ∠ A in this quadrilateral?-example-1

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Answer:

30°

Explanation:

The sum of the angles of a quadrilateral is 360°. You have 3 angles given, so can find the fourth using that fact. (The double arcs on angles B and C mean those angles are congruent. Same symbols are used to mark same-size angles.)

... 360° = A + B + C + D

... 360° = A + 115° + 115° + 100°

... 360° -330° = A = 30°

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