The measure of the angle labeled X is 25°.
Given,
The sum of the measures of two complementary angles is 90 degrees.
We see in the given figure that the two angles are :
- X
- 3X - 10°
And these two angles together form a 90 degree.
We have to find the measure of the angle labeled x.
What are complementary angles?
Any two angles that equal 90 degrees are called complementary angles.
Now,
From the given figure we have,
(3X - 10°) + X = 90°
Solving to find X.
We get,
(3X - 10°) + X = 90°
3X + X - 10° = 90°
4X = 90 + 10
4X = 100
X = 100 / 4
X = 25°
We can crosscheck:
(3X - 10°) + X = 90°
Putting X = 25°
3 x 25 - 10 + 25 = 90
75 - 10 + 25 = 90
100 -10 = 90
90° = 90°
Hence proved.
Thus the measure of the angle labeled X is 25°.
Learn more about complementary angles here:
https://brainly.com/question/2456738
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