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The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A=6x + 5^\circ}∠A=6x+5

start color #11accd, angle, A, equals, 6, x, plus, 5, degrees, end color #11accd \qquad\green{\angle B=4x + 45^\circ}∠B=4x+45

start color #28ae7b, angle, B, equals, 4, x, plus, 45, degrees, end color #28ae7b


The Angle Measurements In The Diagram Are Represented By The Following Expressions Qquad BlueDangle A6x 5circA6x5 Start Color 11accd Angle A Equals 6 X Plus 5 D class=

Sagot :

Answer:

x = 20, ∠ A = 125°

Step-by-step explanation:

∠ A and ∠ B are Alternate interior angles and are congruent, so

∠ A = ∠B , substitute values

6x + 5 = 4x + 45 ( subtract 4x from both sides )

2x + 5 = 45 ( subtract 5 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Thus

∠ A = 6x + 5 = 6(20) + 5 = 120 + 5 = 125°

Answer:

∠A = 125 degrees.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

View image Ninjathan300