The angle measurements in the diagram are represented by the following expressions.

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer:

x = 20 , ∠ A = 125°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and are congruent, then

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

Then

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

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