Use the image to answer the question.

An illustration shows a triangle with a 90 degree angle at the top vertex. The interior angle of the left vertex is labeled x. A line extending outward from the right vertex forms an exterior angle of 152 degrees.

Find angle x
.

(1 point)
Responses

118°
118 degrees

62°
62 degrees

28°
28 degrees

90°
90 degrees

1 answer

The sum of the interior angles of a triangle is always 180 degrees.

Since we know one angle is 90 degrees and the exterior angle at the right vertex is 152 degrees, we can find angle x by subtracting these two angles from 180 degrees.

180 - 90 - 152 = -62

Since angles cannot be negative, we can conclude that angle x is 62 degrees.

Therefore, the correct answer is:

62°
62 degrees