In the circle below, stack A D with bar on top is a diameter and stack A B with left right arrow on top is tangent at A. Suppose m stack A D C with overparenthesis on top equals 224 degree.

Find the measures of m angle C A B and m angle C A D. Type your numerical answers (without units) in each blank.

m angle C A B =
64
degree
m angle C A D =
26
degree

A circle with a diameter labeled A D, chord A C. A line tangent to the circle at E and that goes through point B on the outside of the circle.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.

Then the measures of m angle ∠CAB and m angle ∠CAD will be

Then we have

We know that

mADC = mAD + mDC

224° = 180° + mDC

mDC = 44°

Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have

2 ∠CAD = 44°

∠CAD = 22°

Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have

∠CAB + ∠CAD = 90°

∠CAB + 22° = 90°

∠CAB = 68°

More about the circle link is given below.

https://brainly.com/question/11833983

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