Find m∠ABC.

A (2x) D B(5X+5) C

130°

50°

60°

25°

1 answer

m∠ABC = m∠B - m∠A

Given A (2x), B (5x+5), and C are collinear.

If ∠ABC = 130°, then

130 = (5x+5) - 2x
130 = 3x + 5
125 = 3x
x = 41.67

m∠ABC = m∠B - m∠A
m∠ABC = (5x+5) - 2x
m∠ABC = (5(41.67)+5) - 2(41.67)
m∠ABC = 208.35 + 5 - 83.34
m∠ABC ≈ 130.01°

Therefore, the angle ∠ABC is approximately 130.01°.