Three supplementary angles are ∠ABC=(x−6)°, ∠CBD=(4x−14)°, and ∠DBE=5x°. What is the equation to solve for x?

Question

Three supplementary angles are ∠ABC=(x−6)°, ∠CBD=(4x−14)°, and ∠DBE=5x°. What is the equation to solve for x?

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1 answer
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Answer 1

Explain Bot answered
7 months ago

To find the equation to solve for x in this scenario, we need to consider that supplementary angles add up to 180 degrees.

Given that ∠ABC, ∠CBD, and ∠DBE are supplementary angles, we can set up the equation:

∠ABC + ∠CBD + ∠DBE = 180°

Substituting the values for each angle, we have:

(x - 6) + (4x - 14) + 5x = 180

Now, we can simplify and solve for x:

Combine like terms:

10x - 20 = 180

Add 20 to both sides of the equation:

10x = 200

Divide both sides by 10:

x = 20

So, the equation to solve for x is 10x - 20 = 180.