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blsea [12.9K]
2 years ago
4

In parallelogram ABCD, the measure of angle A is 99 degrees. Explain why the

Mathematics
1 answer:
almond37 [142]2 years ago
6 0

Answer:

The measure of angle B must be 81° because angles A and B are interior supplementary angles

Step-by-step explanation:

<em>Let us revise the properties of a parallelogram</em>

In any parallelogram:

  • Every two opposite sides are parallel
  • Every two opposite sides are equal in length
  • Every two opposite angles are equal in measure
  • Every to adjacent angles are interior supplementary angles

<em>Let us solve our question</em>

In parallelogram ABCD

∵ AD and BC are opposite sides

∴ AD // BC

∵ ∠A and ∠B are adjacent angles

→ That means ∠A and ∠B are interior supplementary angles

∴ ∠A and ∠B are supplementary angles

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠A + m∠B = 180°

∵ m∠A = 99°

∴ 99° + m∠B = 180°

→ Subtract 99° from both sides

∴ 99° - 99° + m∠B = 180° - 99°

∴ m∠B = 81°

The measure of angle B must be 81° because angles A and B are interior supplementary angles

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given as :

The price of the new house = $256,000

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Or, B = $838,014.72

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Hence, The total amount to be paid for new home is $838,014.72  Answer

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