∠7 and∠8 are vertical angles with m∠7=2(3y-8) and m∠8=5(16-2y)
find the value of y and m∠7

y = 6°

m∠7 = 20°

Step-by-step explanation:

Vertical angles means that the value is the same

2(3y-8) = 5(16-2y)

6y - 16 = 80 - 10y

16y - 16 = 80

16y = 96

y = 6°

m∠7 = 2(3*6 - 8)

m∠7 = 2(18-8)

m∠7 = 2(10)

m∠7 = 20

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-Chetan K

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign