Question

The lines p and q intersect at point O. What is the value of x? 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

Answer: 16 degree

Explanation:

When two lines intersect at a point then we obtained two equal pairs of vertical angles in which one pair is of obtuse angles and another pair is of acute angles.

Here, lines p and q are intersecting at point O such that (2x+13)° and (3x-3)° is the pair of acute vertical angles,

Hence, By the above statement,

(2x+13)° = (3x-3)°

⇒ 2x + 13 = 3x - 3

⇒ 2x - 3x = -3 - 13

⇒ - x = -16

⇒ x = 16

Answer 2

x is equal to 16 degrees.

We can tell this because acute vertical angles are always equal to each other. In order to solve this problem, you can set the two acute vertical angles equal and solve for the value of x.

2x + 13 = 3x - 3 ----> Subtract 2x from each side
13 = x - 3 ----> add 3 to both sides
16 = x