Question

What is the measure of angle k?

Answer 1

`63 \: \: degrees`

Explanation:

The exterior angle is equal to the sum of opposite interior angles.

`4x + 7 + 6x - 9 = 118 \\ 10x - 2 = 118 \\ 10x = 118 + 2 \\ 10x = 120 \\ (10x)/(10) = (120)/(10) \\ x = 12 \: \: degrees`

`value \: \: \: of \: \: \: k \: \: angle = \\ 6x - 9 \\ 6 * 12 - 9 \\ 72 - 9 \\ = 63 \: \: degrees`

Answer 2

63

Explanation:

The exterior angle is equal to the sum of the opposite interior angles

6x-9 + 4x+7 = 118

Combine like terms

10x -2 =118

Add 2 to each side

10x = 120

Divide by 10

10x/10 =120/10

x = 12

We want to find angle k

k = 6x-9

= 6*12 -9

= 72 -9

=63