Question

Use the figure below the find the value of y and each angle shown

A:24,84,96
B: 20,88,92
C22,86,94
D:18,78,102

Answer 1

3rd option

Explanation:

(5y - 16) and (3y + 20) are a linear pair and sum to 180° , that is

5y - 16 + 3y + 20 = 180

8y + 4 = 180 ( subtract 4 from both sides )

8y = 176 ( divide both sides by 8 )

y = 22

then

5y - 16 = 5(22) - 16 = 110 - 16 = 94°

3y + 20 = 3(22) + 20 = 66 + 20 = 86°