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09-10-2021
Mathematics

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∠A and \angle B∠B are vertical angles. If m\angle A=(7x-27)^{\circ}∠A=(7x−27) ∘ and m\angle B=(3x+29)^{\circ}∠B=(3x+29) ∘ , then find the value of x.

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jimrgrant1 jimrgrant1

09-10-2021

Answer:

x = 14

Step-by-step explanation:

Vertical angles are congruent , then

7x - 27 = 3x + 29 ( subtract 3x from both sides )

4x - 27 = 29 ( add 27 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

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