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 is the measure of angle adm? 22.5°30.0°45.0°67.5°

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°

A ) 22.5°

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