Question

The lines p and q intersect at point O.

What is the value of x?

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x =

Lines p and q intersect at point O. Acute vertical angles measure two x plus thirteen degrees, and three x minus three degrees.

Answer 1

x = 16

Explanation:

Vertically opposite angles are congruent

3x - 3 = 2x + 13

Add 3 to both sides

3x = 2x + 13 + 3

3x = 2x + 16

Subtract 2x from both sides

3x - 2x = 16

x = 16