Answer:
87 degrees
Explanation:
What is the measure of the unknown angle?
273 degrees is an angle on the outside of two arrows and the interior angle is 'n'. the options are 64, 76, 83, and 876
The two arrows form a straight line, so the sum of the exterior angle and the interior angle is 180 degrees. Therefore, we can write:
273 degrees (exterior angle) + n degrees (interior angle) = 180 degrees
Solving for n, we get:
n degrees = 180 degrees - 273 degrees = -93 degrees
However, this result does not make sense because an interior angle of a triangle cannot be negative. This means that the options provided are not correct.
If we assume that the given angle is actually an interior angle of a triangle, we can write:
273 degrees (exterior angle) = n degrees + (180 degrees - n degrees) + x degrees
where x degrees is the third interior angle of the triangle.
Simplifying the equation, we get:
273 degrees = 180 degrees + x degrees
Solving for x, we get:
x degrees = 273 degrees - 180 degrees = 93 degrees
Therefore, the measure of the unknown angle is 93 degrees.
Note that if the given angle is actually an exterior angle, then we need to subtract it from 360 degrees to find the corresponding interior angle. In this case, the measure of the unknown interior angle would be:
n degrees = 360 degrees - 273 degrees = 87 degrees