If AD is a diameter and C=125 degrees, what is the measure of A?

Mathematics

1 answer:

Elanso [62]3 years ago

6 0

Answer:

Correct answer: m∠A = 55°

Step-by-step explanation:

The quadrilateral ADCB around which the circle is described and whose sides are the chords of the circle has the characteristic that the sum of the opposite angles is 180°. According to this:

m∠A + m∠C = 180° => m∠A + 125° = 180° => m∠A = 180° - 125° = 55°

m∠A = 55°

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