The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x +18 ^\circ}∠A=6x+18

start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, plus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{x +93^\circ}∠B=x+93

start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, x, plus, 93, degrees, end color #28ae7b

Solve for xxx and then find the measure of \greenD{\angle B}∠Bstart color #1fab54, angle, B, end color #1fab54:
\greenD{\angle B} =∠B=start color #1fab54, angle, B, end color #1fab54, equals
^\circ

Respuesta :

The measure of the angles is 108degrees

Lines and angles

From the given diagram, the given measures are alternate exterior angles and they are equal.

Given the following parameters

<A =6x +18

<B = x + 93

Equate

6x + 18 = x + 93

6x - x = 93 -18
5x = 75
x = 15

Determine the measure of the angles

<A = <B = 6x + 18
<A = <B = 6(15) + 18
<A = <B = 108 degrees

Hence the measure of the angles is 108degrees

Learn more on lines ad angles here: https://brainly.com/question/25770607

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