Complementary angles are angles whose sum is 90 degrees. To solve this problem, we can set up an equation:
x+3x=90
In this equation, x represents the smaller angle, so the second angle is 3 times it (3x), and the sum of the angles is 90. Now, solve for x.
*Combine like terms*
4x=90
*Divide both sides by 4*
x=22.5
22.5 degrees is the measure of the smaller angle.
However, the question asks for both angles so you also need to find the measure of the larger angle. This is simple: just multiply the measure of the smaller angle (22.5) by 3:
22.5x3=67.5
67.5 degrees is the measure of the larger angle.
Hope this helps!!
The measure of the angles is 67.5 degrees and 22.5 degrees if one of them is 3 times greater than the other one.
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
One angle is 3 times greater than the other one.
Let x be the first angle then second angle will be (90 - x)
x = 3(90 - x)
x = 270 - 3x
4x = 270
x = 67.5 degrees
Other angle measure = 90 - 67.5 = 22.5 degrees
Thus, the measure of the angles is 67.5 degrees and 22.5 degrees if one of them is 3 times greater than the other one.
Learn more about the angle here:
brainly.com/question/7116550
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