Question

PLEASE HELP! If the measure of arc AB is 72 degrees, what is the measure of angle ACB?
36 degrees
144 degrees
90 degrees
72 degrees

Answer 1

Answer: 144 just took the test

Step-by-step explanation:

Answer 2

The measure of angle ACB is 72 degrees

Circle theorem

First we need to determine the measure of <ADB

<ADB = 1/2arcAB
<ADB = 1/2(72)
<ADB = 36 degrees

Since angle at the centre is twice angle at the circumference, hence;

<ACB = 2<ADB
<ACB = 2(36)
<ACB = 72 degrees

Hence the measure of angle ACB is 72 degrees

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