Determine the measure of each exterior angle.
The triangle looks like an upside down A with one line running longer at the point. The inside angles are A- 50 and in the next corner 75. In the bottom of the A-letter I need to solve for C and A and the extra line at the top of A-Letter is angle B
The measure of angle A is____ °.
The measure of angle B is____ °.
The measure of angle C is____ °.
the angles must add to 180, so the missing angle is 55°, since
50+75+55 = 180
To determine the measure of each exterior angle, we need to recall the following property:
The sum of the measures of the exterior angles of any polygon is always 360 degrees.
In the given triangle, the sum of the measures of the three exterior angles will also be 360 degrees.
To find the measure of each exterior angle, we can subtract the measure of its corresponding interior angle from 180 degrees. This is because the interior and exterior angles are supplementary (they add up to 180 degrees).
Given that the measure of interior angle A is 50 degrees, we can find the measure of its corresponding exterior angle A' by subtracting it from 180 degrees:
A' = 180° - 50°
A' = 130°
Similarly, given that the measure of interior angle B is unknown, we can find the measure of its corresponding exterior angle B' by subtracting it from 180 degrees:
B' = 180° - B
Since we don't have the value of B, we can't determine the exact measure of angle B' without additional information.
Lastly, given that the measure of interior angle C is unknown, we can find the measure of its corresponding exterior angle C' by subtracting it from 180 degrees:
C' = 180° - C
Since we don't have the value of C, we can't determine the exact measure of angle C' without additional information.
Therefore, based on the given information, we can conclude:
The measure of angle A' is 130°.
The measure of angle B' cannot be determined without additional information.
The measure of angle C' cannot be determined without additional information.