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In the figure, d || m. What is the value of x?

In the figure, d || m. What is the value of x?-example-1
User Suvroc
by
5.3k points

1 Answer

5 votes

Answer:

x = 53

Explanation:

The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.

Opposite interior angles are congruent

This means that 2x - 20 = 86

This is our equation.

We now solve for x using basic algebra

2x - 20 = 86

step 1 add 20 to each side

-20 + 20 cancels out

86 + 20 = 106

now we have 2x = 106

step 2 divide each side by 2

2x / 2 = x

106 / 2 = 53

we're left with x = 53

User Talanb
by
5.7k points
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