The drawing shown contains the intersection of two lines.

The figure shows the intersection of two lines. The angle formed above the intersection point is labeled as 2 and the angle formed below the intersection point is labeled as 1.

The measure of

∠1 =20x +21

and

∠2=30x-29

Write an equation to determine the measures of both angles.

Determine the measures of both angles. Show your work.

<1=121°

m<2=121°

Step-by-step explanation:

Recall that vertical angles are formed whenever two straight lines intersect to form an X-shape.

From the diagram, the measure of <1 is 20x+21 and the measure of <2 is 30x-29.

We know that the measure of two vertical angles are congruent.

Therefore we can write the equation:

We group similar terms to get:

Simplify on both sides to get:

Divide both sides by 10 to get:

The measure of angle 1 is 20(5)+21=100+21=121°

Therefore measure of angle 2 is also121°

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step-by-step explanation:

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