Question

The angles shown below are supplementary: A pair of supplementary angles is shown. One angle measures 10x and the other angle measures 70 degrees. What is the value of x?

Answer 1

Supplementary angles add to equal 180 degrees. If two angles are supplementary and one angle measures 10x degrees and the other angle measures 70 degrees, you can set the sum of 10x and 70 equal to 180 and solve algebraically for x.

180 = 10x + 70
110 = 10x
11 = x

Answer:
x = 11

Answer 2

The value of x will be equal to 11.

What are supplementary angles?

Supplementary angles add to equal 180 degrees. The angles whose summation is equal to 180 degrees are called supplementary angles.

If two angles are supplementary and one angle measures 10x degrees and the other angle measures 70 degrees,

You can set the sum of 10x and 70 equal to 180 and solve algebraically for x.

180   =   10x   +   70

110    =   10x

11      =    x

Therefore the value of x will be equal to 11.

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