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3 years ago

Two vertical angles have measures (4x-21)° and (x+6)°. Find the measures of the angles

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

8 0

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate (4x-21)° and (x+6)° and solve for x

(4x-21)° = (x+6)°

4x - 21 = x + 6

Collect like terms

4x - x = 6 + 21

3x = 27

x = 27/3

x = 9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9) - 21

4x - 21 = 15°

Substitute x = 9 into x + 6

x + 6 = 9 + 6

x + 6 = 15°

Learn more here: brainly.com/question/25600404

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Graph is attached below.

Step-by-step explanation:

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Keywords: function, graph

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brainly.com/question/2334270

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