Question

Find the measure of angle x in the figure below

A.35°
B.47°
C.51°
D.62°

Answer 1

Because we know that 180° is a straight line we can subtract 57° and 61° from it to get 62°. After that we can add 62° and 67° to get 129°. Now all we have to do is subtract 129° from 180° to get 51°. So the measure of the angle of x is 51° which makes the answer D.

Answer 2

First of all, we know that a line is 180°. This means if we add the angles of 61°, 57°, and angle y, we should get 180°.


`\sf 61\textdegree +57\textdegree</span>+y=180\textdegree`

Simplify:


`\sf 118\textdegree +y=180\textdegree`

Subtract 118° to both sides:


`\sf y=62\textdegree`

We also know that all three angles of a triangle add up to 180°. So we have:


`\sf 67\textdegree</span>+62\textdegree +x=180\textdegree`

Simplify:


`\sf 129\textdegree +x=180\textdegree`

Subtract 129° to both sides:


`\sf x=\boxed{\sf 51\textdegree}`