Question

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Answer 1

A. 13

Explanation:

`(6y - 14) + 90 + (2y) = 180` (angles on a straight line)

Solve for y

`6y - 14 + 90 + 2y = 180`

Collect like terms

`6y + 2y - 14 + 90 = 180`

`8y + 76 = 180`

Subtract 76 to both sides

`8y + 76 - 76 = 180 - 76`

`8y = 104`

Divide both sides by 8

`(8y)/(8) = (104)/(8)`

`y = 13`