Question

An angle theta° is one-fourth of its supplementary angle. What is the measure of the
angle theta?
A. 11°
B. 15°
C. 32°
D. 36°​

Answer 1

Answer:

Step-by-step explanation:

supplementary angle means by adding up two angles we get 180 degrees

so let X be the angle

then 180-x be the supplementary angle

according to question an angle theta is 1/4 of supplementary angle

so X=180-X

          4

4X=180-X

transpose x to LHS Side

4X+X=180

5X=180

X=180/5

X=36