Question

In the following diagram, HI is parallel to JK. What is the measure of x?

Answer 1

60

Explanation:

find the missing angle in triangle HAI =60.

VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60

Angle x is alternating with the angle.

Answer 2

`x = 60 \: \: degrees`

Explanation:

Lets take LAH angle as 'y'

`61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees`

`y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\`

`x = 60 \: \: degrees`