Question

The measure of an angle is 8 degrees less than three times the measure another angle. If the two angles are supplementary, what is the measure or the larger angle?

The answer should be either 133 or 148

Answer 1

133°

Explanation:

 supplementary angeles sum 180°

a = 3b - 8. Eq. 1

a + b = 180. Eq. 2

Replacing Eq.1 in Eq.2

(3b - 8) + b = 180

3b + b = 180 + 8.

4b = 188

b = 188/4.

b = 47°

From Eq. 1:

a = 3b - 8.

a = 3*47 - 8.

a = 141 - 8.

a = 133°

then:

133>47

The larger anglel is:

133°