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20 points

The equations are 4a + 2b = 360 and a + b = 116

the value of a = 64 and the value of b = 52

Step-by-step explanation:

∵ The figure is a parallelogram

∴ The sum of its angles = 360°

∴ 4a + 2b = 360°⇒ divide both sides by 2

∴ 2a + b = 180⇒(1)

∵ The measure of the largest angle is 116°

∴ a + b = 116⇒(2)

Solve the equations (1) and (2)

From equation (2) ⇒ b = 116 - a

Substitute in equation (1)

2a + 116 - a = 180

∴ a = 180 - 116 = 64

∴ b = 116 - 64 = 52

i believe the answer is letter c) 8

step-by-step explanation: