Question

Please help me solve 28

Answer 1

m∠CBD = 38°

Explanation:

∠ABC and ∠CBD have a sum of 100°.

m∠ABC + m∠CBD = m∠ABD

4x + 2 + 3x - 7 = 100

7x - 5 = 100

7x = 105

x = 15

m∠CBD = 3(15) - 7 = 45 - 7 = 38

Answer 2

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