Answer:
Step-by-step explanation:
∠ABD = 100
∠ABC + ∠CBD = ∠ABD
4x + 2 + 3x - 7 = 100
4x + 3x +2 -7 = 100 {Combine like terms}
7x -5 = 100
Add 5 to both sides
7x = 100 +5
7x = 105
Divide both sides by 7
x = 105/7
x = 15
∠CBD = 3x - 7
= 3*15 - 7
= 45 - 7
∠CBD = 48
m∠CBD = 38°
∠ABC and ∠CBD have a sum of 100°.
m∠ABC + m∠CBD = m∠ABD
7x - 5 = 100
m∠CBD = 3(15) - 7 = 45 - 7 = 38
