Question

M∠1 = (4x + 9)° and m∠2 = (x − 14)° in the given figure. Find x.

An image of two parallel lines and two transversals.

Question 13 options:

7


19


8


37

Answer 1

`x = 19`

Explanation:

Given

`\angle 1 = 4x + 9`

`\angle 2 = x - 14`

See attachment

Required

Find x

From the attached image, we have:

`\angle 1 +\angle 2 = 90`

Because the sum of both angle corresponds to the right angle between n and m

So, we have:

`4x + 9 + x - 14 = 90`

Collect like terms

`4x + x = 90 - 9 +14`

`5x = 95`

Divide by 5

`x = 95/5`

`x = 19`