Find the measure of angle x in the figure below: (1 point)
A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 63 degrees. The interior angle on the left is labeled as x.
35°
48°
69°
78°
To find the measure of angle x, we can use the fact that the sum of the angles in a triangle is 180 degrees.
We have two known angles:
- The angle formed between the horizontal line and the left edge of the triangle is 52 degrees.
- The angle formed between the horizontal line and the right edge of the triangle is 59 degrees.
To find angle x, we need to subtract these two angles from 180 degrees:
180 - 52 - 59 = 180 - 111 = 69 degrees.
Therefore, the measure of angle x is 69 degrees.
The correct answer is 69°.