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Answer:
Therefore the measures of the angles are 22.5° and 67.5°.
Step-by-step explanation:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
Example 40° and 50° are Complementary Angles.
If 'x' and 'y' are Complementary Angles the we have
Here,
Let the common multiple be 'x '
Then the the Complementary Angles will be 'x' and '3x'.
....property of Complementary Angles.
Solving the equation we get
Substituting 'x' values we get
x= 22.5°
3x = 3 × 22.5 = 67.5°
Therefore the measures of the angles are 22.5° and 67.5°.