37 degrees and 42 degrees

Question

Drag and drop the correct answer into the box. What is the measure of the exterior angle x?

79?
24?
90?

Answer 1

To find the measure of the exterior angle \( x \) when given the interior angles of 37 degrees and 42 degrees, you can use the following formula:

The sum of the interior angles of a triangle is 180 degrees. Thus, the measure of the third interior angle can be found as follows:

1. Calculate the third interior angle: \[ 180 - (37 + 42) = 180 - 79 = 101 \text{ degrees} \]

2. The exterior angle is equal to the sum of the two opposite interior angles. Therefore, the exterior angle \( x \) can be calculated as: \[ x = 37 + 42 = 79 \text{ degrees} \]

Thus, the measure of the exterior angle \( x \) is 79 degrees.

So, drag and drop 79 into the box.