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HELP! Does anyone know the answer?

HELP! Does anyone know the answer?-example-1

1 Answer

5 votes

Answer:

140

Explanation:

Angles 1 and 3 are corresponding angles.

Assuming the lines the transversal goes through are parallel, they are congruent.

With that assumption we have the following equation to solve for x:

20x+60=30x+20

Divide both sides by 10:

2x+6=3x+2

Subtract 2x on both sides:

6=(3x-2x)+2

Simplify:

6=(1x)+2

Simplify:

6=x+2

Subtract 2 on both sides:

6-2=x

Simplify

4=x

So the measure of angle 1 is

20x+60 evaluated at x=4:

20(4)+60

80+60

140

User Quick Joe Smith
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