Question
Jameel drew circle A and found that the measure of arc CD is 58°. He knows that he can use this measure to determine the measure of many of the other angles shown in the circle.
image
What is the degree measure of
∠
A
D
B
? Type your response in the box below.
°
image
What is the degree measure of
∠
A
D
B
? Type your response in the box below.
°
Answers
GPT-4o mini
The measure of angle \( \angle ADB \) is equal to half the measure of the intercepted arc \( CD \).
Since the measure of arc \( CD \) is 58°, you can find the measure of \( \angle ADB \) using the following formula:
\[
\angle ADB = \frac{1}{2} \times \text{measure of arc CD}
\]
\[
\angle ADB = \frac{1}{2} \times 58^\circ = 29^\circ
\]
Therefore, the degree measure of \( \angle ADB \) is
\[
\boxed{29}
\]
Since the measure of arc \( CD \) is 58°, you can find the measure of \( \angle ADB \) using the following formula:
\[
\angle ADB = \frac{1}{2} \times \text{measure of arc CD}
\]
\[
\angle ADB = \frac{1}{2} \times 58^\circ = 29^\circ
\]
Therefore, the degree measure of \( \angle ADB \) is
\[
\boxed{29}
\]