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2 years ago

Suppose point D is in the interior of ∠ABC, m∠ABC=120 degrees, m∠ABD=3x+40, and m∠DBC=2x−10. What is m∠DBC

Mathematics

2 answers:

neonofarm [45]2 years ago

7 0

∠ABC is 130 degrees.

See the following image for steps:

WARRIOR [948]2 years ago

5 0

Answer: 30

Step-by-step explanation:

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Assignment: $\bold{Solve \ Equation: \ 58=-2\left(m+4\right)+m}$

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Answer: $\boxed{\bold{m=-66}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Switch Sides

$\bold{-2\left(m+4\right)+m=58}$

[ Step Two ] Expand $\bold{-2\left(m+4\right)+m}$

$\bold{-m-8}$

[ Step Three ] Rewrite Equation

$\bold{-m-8=58}$

[ Step Four ] Add 8 To Both Sides

$\bold{-m-8+8=58+8}$

[ Step Five ] Simplify

$\bold{-m=66}$

[ Step Six ] Divide Both Sides By -1

$\bold{\frac{-m}{-1}=\frac{66}{-1}}$

[ Step Seven ] Simplify

$\bold{x=-66}$

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$\bold{\rightarrow Mordancy \leftarrow}$

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