When angles are complementary, the sum of their measures is 90 degrees (meaning the two angles add up to 90). The two complementary angles have measures of 2x-10 degrees and 3x-10 degrees. Find x and the measures of each angle

Question

Mathematics

Simon Burton

8 April, 07:06

When angles are complementary, the sum of their measures is 90 degrees (meaning the two angles add up to 90). The two complementary angles have measures of 2x-10 degrees and 3x-10 degrees. Find x and the measures of each angle

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Muhammad · Answer 1

x=22

The measure of the angle 2x-10 is 34 degrees.

The measure of the angle 3x-10 is 56 degrees.

Step-by-step explanation:

What you first want to do is add both of the equations up so that they equal 90 which would look like 2x-10+3x-10=90 next add up all like terms to get 5x-20=90. Now you want to add 20 on both sides to get 5x by itself which leaves you with 5x=110. Now you want to isolate x by dividing by 5 on both sides to finally get x=22.

To find the measure of the other two angles you want to simply plug in 22 as the value of x in each so you get 2 (22) - 10=34 and 3 (22) - 10=56.