Question

Line a and b intersect, forming two adjacent angles, ∠1 and ∠2. If m ∠1= 7x-8 and

m ∠2= 11y+2, find the values of x and y so that a is perpendicular to b.

Answer 1

x = 14; y = 8

Explanation:

A perpendicular intersection means an intersection between 2 lines, forming angles of 90°. Then:

7x - 8 = 90°

11y + 2 = 90°

7x - 8 = 90

7x = 90 + 8

7x = 98

x = 98/7

x = 14

11y + 2 = 90

11y = 90 - 2

11y = 88

y = 88/11

y = 8

I hope I've helped you.