1.
Solve for x
2x = 80
2x/2 = 80/2
x = 40
Solve for m∠B
m∠B + m∠A + m∠C = 180
m∠B + 90 + 80 = 180
m∠B + 170 = 180
m∠B = 180 - 170
m∠B = 10°
2.
Solve for y
2y - 40 = y + 10
2y - y = 10 + 40
y = 50
Solve for m∠U
m∠U = 2y - 40
m∠U = 2(50) - 40
m∠U = 100 - 40
m∠U = 60°
3.
10y = 70
10y/10 = 70/10
y = 7
m∠J + m∠K + m∠L = 180
(70) + (4x + 9) + (49) = 180
4x + 128 = 180
4x = 180 - 128
4x = 52
4x/4 = 52/4
x = 13
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Answers & Comments
1.
Solve for x
2x = 80
2x/2 = 80/2
x = 40
Solve for m∠B
m∠B + m∠A + m∠C = 180
m∠B + 90 + 80 = 180
m∠B + 170 = 180
m∠B = 180 - 170
m∠B = 10°
2.
Solve for y
2y - 40 = y + 10
2y - y = 10 + 40
y = 50
Solve for m∠U
m∠U = 2y - 40
m∠U = 2(50) - 40
m∠U = 100 - 40
m∠U = 60°
3.
Solve for y
10y = 70
10y/10 = 70/10
y = 7
Solve for x
m∠J + m∠K + m∠L = 180
(70) + (4x + 9) + (49) = 180
4x + 128 = 180
4x = 180 - 128
4x = 52
4x/4 = 52/4
x = 13