Question

Find the measure of angle x in the figure belowA.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°.

$\sf 61\textdegree +57\textdegree+y=180\textdegree$

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:

$\sf 67\textdegree+62\textdegree +x=180\textdegree$

Simplify:

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

Subtract 129° to both sides:

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