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Question

Two supplementary angles are in the ratio 3: 2. Find the measure of the smaller angle.


Your Answer
A
85o
Correct Answer
B
72o
Your Answer
C
47o
Your Answer
D
68o

Solution

The correct option is A 72o

Given: Two supplementary angles are in the ratio 3:2.

Let the supplementary angles be 3x and 2x.

We know that supplementary angles add up to 180.

3x+2x=180

5x=180

x=36

2x=72

The measure of the smaller angle is 72.

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