Among two complementary angles, the measure of the smaller angle is half of the larger
angle. Find the measure of both the angles.
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Answer:
The smaller angle will be 30°
The larger angle will be 60°
Step-by-step explanation:
Here it is given that among two complementary angles, the measure of the smaller angle is half of the larger
angle.
If we assume the smaller angle to be x, then the larger angle will be 2x
Now, we know that sum of complementary angles is 90°
so, x + 2x = 90
3x = 90
x = 90/3
x = 30
smaller angle = x
= 30°
larger angle = 2x
= 2 × 30
= 60°
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