Use the image to answer the question.

Question

An illustration shows a triangle with an interior angle at the left vertex of 41 degrees and an interior angle at the right vertex of 53 degrees. A line extending from the top vertex forms an exterior angle that is labeled x.
Find angle x
.

(1 point)
Responses

94°
94 degrees

127°
127 degrees

139°
139 degrees

86°
86 degrees
Remaining Attempts : 3

Answer 1

To find the exterior angle \( x \) of the triangle, we can use the property that an exterior angle is equal to the sum of the two remote interior angles.

The two interior angles of the triangle are:

• \( 41^\circ \) (left vertex)
• \( 53^\circ \) (right vertex)

First, we calculate the sum of the two interior angles:

\[ 41^\circ + 53^\circ = 94^\circ \]

According to the exterior angle theorem, the exterior angle \( x \) is equal to the sum of the two interior angles:

\[ x = 41^\circ + 53^\circ = 94^\circ \]

So, the value of angle \( x \) is:

\[ \boxed{94^\circ} \]