PLEASE HELP! Find the measure of a.
A. 88
B. 90
C. 46
D. 44

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TheBreeze TheBreeze · Answer 1 · 2019-08-05T05:56:18+02:00

First, we know that 92 + e = 180, since it's a flat line.

e = 88

The arc that is intercepted is 88°

Since a is an inscribed angle for the same arc (which means angle a is half of the arc's value), that makes it Option D, 44°

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topeadeniran2 topeadeniran2 · Answer 2 · 2021-08-13T22:19:17+02:00

The value of angle a is 44°.

First and foremost, it should be noted that the angle on a straight line is 180°. Therefore, e + 92° = 180°

e = 180° - 92° = 88°

In this case, the value of angle a will be half of the arc value which is 88°. Therefore, half of 88° will be:

= 1/2 × 88°

= 44°

In conclusion, the measure of a is 44°.

Therefore, the correct option is D.

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