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Sholpan [36]
3 years ago
6

Please help me solve 28

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0

Answer:

m∠CBD = 38°

Step-by-step 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

iris [78.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

∠ABD = 100

∠ABC + ∠CBD = ∠ABD

4x + 2 + 3x - 7 = 100

4x + 3x +<u>2 -7 </u>= 100         {Combine like terms}

7x <u> -5 </u>  = 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

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