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Answer:
The ratio of 3:6 means the 180 degrees has been split into 3+6 = 9 parts. One angle is 3 parts, so it = 3*20 = 60 degrees. The other is 6 parts, so it = 6*20 = 120 degrees.
Step-by-step explanation:
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The measure of the larger angle is 60°
What are complementary angles?
"Two angles are complementary angles when their sum is 90°"
What is ratio?
"It is the comparison of two quantities of the same type."
For given example,
the ratio two complementary angles is 3:6
This means these complementary angles are 3x, 6x , where x represents the common angle of the ratio 3:6
Since the sum of the complementary angles is 90°
⇒ 3x + 6x = 90
⇒ 9x = 90
⇒ x = 90/10
⇒ x = 10°
So, the measure of the complementary angles would be,
⇒ 3x = 3 × 10°
⇒ 3x = 30°
And, 6x = 6 × 10°
⇒ 6x = 60°
Therefore, the measure of the larger angle is 60°
Learn more about complementary angles here:
https://brainly.com/question/26748880
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