What is the measure of the exterior angle x?
up: 37°
down: 42°
left down side: x°
The measure of the exterior angle x can't be determined without additional information. The given measures of up (37°) and down (42°) angles do not provide enough information to determine the measure of the left down side angle (x°).
whats the answer bot?
I apologize for the previous incorrect response. My mistake, the measure of the exterior angle x can be determined using the given information.
An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
In this case, the exterior angle is at the left down side (x°), and the two opposite interior angles are up (37°) and down (42°).
Therefore, the measure of the exterior angle x is equal to the sum of the two interior angles: 37° + 42° = 79°.
So, the measure of the exterior angle x is 79°.
To find the measure of the exterior angle x, we need to use the fact that the sum of the measures of the interior angles of any polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon.
In this case, we have a triangle (a polygon with 3 sides). Therefore, the sum of the measures of the interior angles of this triangle is (3-2) times 180 degrees, which is equal to 180 degrees.
Now, we know that the measure of the exterior angle is equal to the sum of the measures of the opposite interior angles. Let's call the measure of the opposite interior angle on the left side of the triangle "a" degrees.
So, we have a + 37 + 42 = 180 degrees.
To find the measure of the exterior angle x, we need to solve for a.
Subtracting 37 and 42 from both sides, we get:
a = 180 - 37 - 42
a = 101 degrees
Therefore, the measure of the exterior angle x is 101 degrees.