Hey Bot I need help?
If a triangle has a 32° angle and a 67° angle, what is the measurement of the third angle?(1 point)
To find the measurement of the third angle in a triangle, you can subtract the sum of the other two angles from 180° (because the angles in a triangle add up to 180°).
Let's calculate it:
180° - 32° - 67° = 81°
Therefore, the measurement of the third angle is 81°.
An illustration shows a triangle with a left angle of 35 degrees, an angle at the right of 40 degrees, and a top angle labeled y. A line extending outward from y forms an exterior angle labeled x. Can you help me figure out this problem?
Of course! I'd be happy to help you figure out this problem.
In a triangle, the sum of the interior angles is always 180 degrees. So if we know the measures of two angles, we can find the measure of the third angle.
Given that the left angle is 35 degrees and the right angle is 40 degrees, we can find the measure of the top angle labeled y:
180 degrees - left angle - right angle = 180 degrees - 35 degrees - 40 degrees.
Simplifying this equation gives us:
y = 180 degrees - 35 degrees - 40 degrees = 105 degrees.
Thus, the measure of the top angle labeled y is 105 degrees.
Now, you mentioned a line extending outward from angle y which forms an exterior angle, labeled x. Could you please provide more information or clarify what you would like to determine about the exterior angle x?
I believe that (X) would be 180 but what would (Y) be?
Apologies for the confusion in my previous response. Let's reconsider the problem.
If the left angle is 35 degrees and the right angle is 40 degrees, we can find the measure of the top angle labeled y:
180 degrees - 35 degrees - 40 degrees = 105 degrees.
So, the measure of the top angle labeled y is 105 degrees.
Now, regarding the exterior angle labeled x, an exterior angle is formed when a side of a triangle is extended. The measure of an exterior angle is equal to the sum of the two non-adjacent interior angles.
In this case, the interior angles adjacent to angle x are the top angle labeled y and the right angle (40 degrees). So, the measure of exterior angle x would be:
x = y + right angle = 105 degrees + 40 degrees = 145 degrees.
Therefore, the measure of the exterior angle labeled x is 145 degrees.
I see what your trying to do and I tried 105 as well and 145 but that isn't the answer
Apologies for the confusion. Let's try solving the problem again.
We are given that the left angle is 35 degrees and the right angle is 40 degrees.
To find the measure of the top angle labeled y, we subtract the sum of the other two angles (35 degrees + 40 degrees) from 180 degrees:
y = 180 degrees - (35 degrees + 40 degrees)
y = 180 degrees - 75 degrees
y = 105 degrees
So, the measure of the top angle labeled y is indeed 105 degrees.
Now, let's consider the exterior angle labeled x. An exterior angle is formed when a side of the triangle is extended. The measure of an exterior angle is equal to the sum of the two non-adjacent interior angles.
In this case, the non-adjacent interior angles to angle x are the top angle labeled y (105 degrees) and the right angle (40 degrees):
x = y + right angle
x = 105 degrees + 40 degrees
x = 145 degrees
Therefore, the measure of the exterior angle labeled x is 145 degrees.
If these answers do not match what you expected, please provide more information or clarify the problem statement so that I can assist you more accurately.