Question

Two lines intersect at point P. If the measures of a pair of vertical angles are (2x-7)° and, (x+3)° determine x and the measures of the other two angles?

Answer 1

x = 10

One angle is 13 and the other angle is 13

Explanation:

Vertical angles have the same measurement, so set the angles equal to each other and solve for x.

2x - 7 = x + 3 Subtract x from both sides of the equation

x - 7 = 3 Add 7 to both sides of the equation

x = 10 Now use this to solve for both angles

2(10) - 7 =

20 - 7 =

13

x + 3

10 + 3 =

13