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Line BD is tangent to a circle with diameter AB. Explain why the measure of angle BCA must equal the measure of angle ABD.

Line BD is tangent to a circle with diameter AB Explain why the measure of angle BCA must equal the measure of angle ABD class=

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Answer:

This is because angles inscribed in a semicircles are 90 degrees (BCA)

The tanget of that circle is also a 90 degree angle to the diameter (ABD)

Therefore they're both 90 degrees

The measure of angle BCA must equal the measure of angle ABD should be that angle should be  inscribed in a semicircles that are 90 degrees,

What is the inscribed angle?

In terms of geometry, an inscribed angle refer to the angle that should be created in the interior of a circle  at the time when two chords should be intersect on the circle. It can also be refer to the angle subtended at a point on the circle via two given points on the circle.

Also, angle should be  inscribed in a semicircles that are 90 degrees,

learn more about an angle here: https://brainly.com/question/5366669