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xxMikexx [17]
3 years ago
7

Thank you in advance for the help !!!

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

c. 20

beacuse xu equals 10 and xu is half of su therefor 10 plus ten equals 20.

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All parallelograms are _______
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b) trapezoids

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Angles ∠ABC= x and ∠CBD=(2y+4) are complementary. ∠CBD and ∠DBE=(3y+x) are supplementary.
Basile [38]

The missing question is find x , y and the measure of each angle

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Step-by-step explanation:

Let us revise the meaning of complementary angles and supplementary angles

  • Two angles are complementary if their sum is 90°
  • Two angles are supplementary if their sum is 180°

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- That means their sum is 90°, add their values and equate

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∴ x + 2y + 4 = 90

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∵ ∠CBD and ∠DBE are supplementary

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- Add like terms

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Now we have a system of equations to solve them

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- Substitute the value of y in equation (1) to find x

∵ x + 2(30) = 86

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∴ The measure of angle CBD is 64°

∵ ∠DBE = 3y + x

∴ ∠DBE = 3(30) + 26 = 90 + 26 = 116°

∴ The measure of angle DBE is 116°

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Learn more:

You can learn more about the complementary angles and supplementary angles in brainly.com/question/10483199

#LearnwithBrainly

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