Question

Look at the triangle.

The interior angles of the triangle are x degrees, 48 degrees, and 96 degrees. Angle y is the exterior angle of angle measuring 96 degrees.

Find the values of x and y. Show your work.

Type your answer in the box below.

Answer 1

Sum of interior angles: x + 48 + 96 = 180.
So x = 180 − 48 − 96 = 36°.

An exterior angle equals the sum of the two remote interior angles (or 180° − the adjacent interior angle). Thus
y = x + 48 = 36 + 48 = 84° (equivalently y = 180 − 96 = 84°).

Answer: x = 36°, y = 84°.