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info@snapandsolve.comTo find the value of x, set the expressions for m<1 and m<2 equal to each other because they are vertical angles:
7x - 3 = 5x + 17
Solve for x:
7x - 5x = 17 + 3
2x = 20
x = 10
Now, substitute x back into the expressions for m<1 and m<2:
m<1 = 7(10) - 3 = 70 - 3 = 67
m<2 = 5(10) + 17 = 50 + 17 = 67
To find the value of x, set the expressions for m<3 and m<4 equal to each other because they are vertical angles:
6x + 17 = 8x - 19
Solve for x:
6x - 8x = -19 - 17
-2x = -36
x = 18
Now, substitute x back into the expressions for m<3 and m<4:
m<3 = 6(18) + 17 = 108 + 17 = 125
m<4 = 8(18) - 19 = 144 - 19 = 125
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