Question

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

Answer 1

22, 86 , 94

Explanation:

the measure of angle of a line is 180°

to find value of y..

3y + 20 + 5y - 16 = 180

3y + 5y = 180 - 20 + 16

8y = 176

y = 176/8

y = 22

and the measure of angles..

3*22 + 20 = 86

5*22 - 16 = 94

and.. 94+86 = 180

so y = 22 and angles are 86° and 94°

Answer 2

Explanation:

Providing you are working with 2 straight lines that intersect, the 2 given angles are supplementary.

3y+20 + 5y - 16 = 180 Collect like terms

8y + 4 = 180 Subtract 4 from both sides

8y + 4-4=180-4 Collect like terms

8y = 176 Divide by 8

8y/8 = 176/8

y = 22

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Angle 1

3y + 20

3*22 + 20

66 + 20

86

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Angle 2

5y - 16

5*22 - 16

110 - 16

94

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Answer: 22,86,94

Answer: B

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