Find the measure of angle x in the figure below:
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, and 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 need to apply the sum of interior angles in a triangle, which states that the sum of all interior angles in a triangle is always 180 degrees.
Given that the interior angle on the right is 63 degrees and the angle formed with the horizontal line is 59 degrees, we can calculate the interior angle on the left as follows:
y = 180 - 63 - 59
y = 118
Now, we can calculate the measure of angle x:
x = 180 - 52 - 118
x = 10
Therefore, the measure of angle x in the figure is 10 degrees.