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What is the measure of angle a and angle c ?

What is the measure of angle a and angle c ?-example-1
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Answer:

∠A = 40°

∠C = 32°

Explanation:

Inscribed angles that intercept the same arc have the same measure.

∠A intercepts the same arc (CD) as ∠B, so has the same measure, 40°.

∠C intercepts the same arc (AB) as ∠D, so has the same measure, 32°.