Question

Angle Terminology with Equations
(Please Full Explanation)
Delta Math:

Answer 1

∠B = 138

Explanation:

Suplementary means = 180 soooo

180=(2x-24)+(5x-27)

180=7x-51

231=7x

x=33

B=5x-27

5(33)-27= 138

Answer 2

Supplementary angles are angles that sum up to 180 degrees

∠A and ∠B are supplementary angles

• ∠A + ∠B = 180°

• 2(x) - 24 + 5(x) - 27° = 180°

• 7(x) -51° = 180°

• 7(x) = 180° + 51°

• 7(x) = 231°

• x = 33°

Find ∠B

• 5(x) - 27°

• 5(33) - 27°

• 165° - 27

• 138°

Therefore ∠B is 138 degrees