Triangles Online Practice

Question

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Question
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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

127°
127 degrees

94°
94 degrees

86°
86 degrees

139°
139 degrees

Answer 1

To find the value of angle x, we need to use the fact that the sum of the interior angles of a triangle is always 180 degrees.

In this case, we are given that the left interior angle is 41 degrees and the right interior angle is 53 degrees.

To find the top interior angle (opposite to angle x), we can subtract the sum of the other two interior angles from 180 degrees:

180 - (41 + 53) = 180 - 94 = 86 degrees

Since angle x is an exterior angle, it forms a linear pair with the top interior angle. This means that the sum of their measures is 180 degrees.

Therefore, angle x = 180 - 86 = 94 degrees.

So the correct answer is:

94°