In the diagram m<8=11y+7 and m<3=y+17.What is m<2

C. 150

Step-by-step explanation:

Given:

m<8 = 11y + 7

m<3 = y + 17

Required:

Find m<2

Solution:

m<8 + m<3 = 180 (supplementary angles and linear pair theorem)

11y + 7 + y + 17 = 180 (substitution)

Collect like terms

12y + 24 = 180

Subtract 24 from each side

12y = 180 - 24

12y = 156

Divide both sides by 12

y = 156/12

y = 13

m<2 = m<8 (alternate exterior angles are congruent)

m<2 = 11y + 7

Substitute y = 13 into the equation

m<2 = 11(13) + 7 = 143 + 7

m<2 = 150°

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step-by-step explanation:

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step-by-step explanation: