Question

Part A) Identify the angle relationship and setup your equation with the given expressions.

Part B) What is the value of x? Show your work.

Part C) What is the measure of angle A, B, & C? Show your work and make sure to identify which is which.

please help this is 2 days overdue :(

Answer 1

Answer:

  (A)  3(x +5) +(5x +15) +7x = 180

  (B)  x = 10

  (C)  A = 45°, B = 65°, C = 70°

Step-by-step explanation:

A)

The sum of angles in a triangle is 180°.

  m∠A +m∠B +m∠C = 180°

  3(x +5) +(5x +15) +7x = 180 . . . . . substitute given expressions

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B)

  15x +30 = 180 . . . . . . . . . . . . . simplify

  15x = 150 . . . . . . . . . . . . . . subtract 30

  x = 10 . . . . . . . . . . . . . . divide by 15

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C)

The angle measures are found from the given expressions:

  m∠A = 3(x +5) = 3(10 +5) = 45

  m∠B = 5x +15 = 5(10) +15 = 65

  m∠C = 7x = 7(10) = 70

m∠A = 45°, m∠B = 65°, m∠C = 70°