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TiliK225 [7]
3 years ago
12

When angles are complementary, the sum of their measures is 90 degrees (meaning the two angles add up to 90). The two complement

ary angles have measures of 2x-10 degrees and 3x-10 degrees. Find x and the measures of each angle
Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Answer:

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.

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