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The angle measurements in the diagram are represented by the following expressions. ∠A=6x+18 ∠B=x+93 Solve for x and then find the measure of ∠B

The angle measurements in the diagram are represented by the following expressions A6x18 Bx93 Solve for x and then find the measure of B class=

Respuesta :

Answer:

x = 15

m∠B = 108°

Step-by-step explanation:

From the picture attached,

There are two parallel lines and another line (transversal line) is intersecting the given lines making angle A and angle B.

Since, ∠A and ∠B are the exterior alternate angles,

measure of both the angles will be same.

m∠A = m∠B

(6x + 18)° = (x + 93)°

6x - x = 93 - 18

5x = 75

x = 15

m∠A = (6x + 18) = 90 + 18

                         = 108°

m∠A = m∠B = 108°

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