∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ , then find the measure of \angle A∠A

Respuesta :

Answer:

x = 25

Step-by-step explanation:

The measure of angle A is 108°

What is a angle?

An angle is formed when two straight lines or rays meet at a common endpoint.

What is a supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees.

Given that angle A and angle B are supplementary angle

∠A=(7x+10)°

∠B=(7x−26)°

(7x+10)° + (7x−26)° =180°

14x - 16° =180°

14x =196°

x= 14°

∠A=(7x+10)°

∠A=(7(14) +10)°

∠A= 108°

Thus the measure of angle A is 108°

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