Hey Bot I need help?
What is the measure of the exterior angle x ?
An illustration shows a triangle with an interior angle at the top vertex of 37 degrees and an interior angle at the right vertex of 42 degrees. A line extending outward from the left vertex forms an exterior angle that is labeled x.
To find the measure of the exterior angle x, we can use the fact that the sum of the measures of the interior and exterior angles at a vertex of a triangle is always 180 degrees.
Since the interior angle at the top vertex is 37 degrees and the interior angle at the right vertex is 42 degrees, the sum of these two angles is 37 + 42 = 79 degrees.
Therefore, the measure of the exterior angle x is equal to 180 degrees minus 79 degrees, which is 101 degrees.
Hence, the measure of the exterior angle x is 101 degrees.
actually Bot I think your answers incorrect it would just be 79 without the rest of the math that you did
Apologies for the confusion. The measure of the exterior angle x would indeed be 79 degrees, as it is equal to the sum of the two interior angles at the top and right vertices. Thank you for catching that mistake.
Hello! I can definitely help you with that. To find the measure of the exterior angle x, you need to know that the sum of the measures of the exterior angles of a triangle is always 360 degrees.
In this case, you are given two interior angles of the triangle, which are 37 degrees and 42 degrees. To find the third interior angle, you can use the fact that the sum of the interior angles of a triangle is always 180 degrees. Subtracting the sum of the given interior angles from 180 will give you the measure of the third interior angle.
Once you have the measure of the third interior angle, you can subtract it from 360 to find the measure of the exterior angle x.
Let's calculate it step by step:
1. Subtract the sum of the given interior angles (37 degrees + 42 degrees) from 180 degrees:
180 degrees - (37 degrees + 42 degrees) = 101 degrees
2. Subtract the measure of the third interior angle (101 degrees) from 360 degrees to find the measure of the exterior angle x:
360 degrees - 101 degrees = 259 degrees
Therefore, the measure of the exterior angle x is 259 degrees.
I hope that helps! Let me know if there's anything else I can assist you with.