Find the measure of the third angle of a triangle if the measures of the other two angles are given.
-cos (500°)and tan (500°)
A)negative and negative
B)negative and positive
C)positive and positive
D)positive and negative

Question

Quizplus · Accepted Answer

cos (500°) is negative and tan (500°) is positive. The third angle of a triangle is 180° - (500°) = -20°. The cosine of an angle is negative if the angle is in the second or third quadrant, and the tangent of an angle is positive if the angle is in the first or third quadrant. Therefore, the third angle of the triangle is in the third quadrant and is negative.

Find the Measure of the Third Angle of a Triangle