Question

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ. What is the value of y?

Answer 1

Answer:

A. 13

Step-by-step 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

$\frac{8y}{8} = \frac{104}{8}$

$y = 13$