What is the measure of minor arc BD?
Angle BCD is a circumscribed angle of circle A. Angle BCA
measures 40°
B
40°
© 50°
80°
100°

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A circumscribed angle is the angle made by two intersecting tangent lines to a circle

so

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

so

Find the measure of angle BAC

In the right triangle ABC

substitute given value

Find the measure of angle BAD

Find the measure of minor arc BD

we know that

-----> by central angle

therefore

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