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Kryger [21]
2 years ago
4

Points A, B, C, and D lie on circle M. Line segment BD is a diameter. The measure of arc CD equals the measure of arc DA. What i

s the measure of angle ADM?22.5°30.0°45.0°67.5°

Mathematics
2 answers:
stellarik [79]2 years ago
8 0

The answer on e2020 is A, 22.5°

jenyasd209 [6]2 years ago
5 0
We know that ACD is an isosceles triangle.
Also angle CMA = 90° and it is the central angle.
Angle CDA is the peripheral angle:
∠ CDA = 90° : 2 = 45°
And the measure of angle ADM is half of the measure of angle CDA.
∠ ADM = 45° : 2 = 22.5°
Answer:
A ) 22.5°
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