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dimulka [17.4K]
2 years ago
14

Write an algebraic equation based on the description. Two angles form a linear pair. The measure of one angle is 24° more than t

he measure of the other angle.
Mathematics
1 answer:
IgorC [24]2 years ago
4 0
<h2><u>Answer:-</u></h2>

Given:

Two angles form a linear pair.

It means sum of their measures = 180°.

And,

Measure of one angle is 24° greater than the other.

Let the other angle be x.

→ First angle = (x + 24)

According to the question,

<h3>→ x + x + 24 = 180</h3>

→ 2x = 180 - 24

→ 2x = 156

→ x = 156/2

<h3>→ X = 78°</h3>

<u>There</u><u>fore</u><u>,</u>

  • 1st angle = 78°
  • 2nd angle = 78° + 24° = 102°

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