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Using the vertical angle image from problem 1, let ∠2 = 4x-4 and ∠4 = x+50.

A. What is the value of x?

B. What is the measure of ∠2?

C. Find the measure of ∠3.

Using the vertical angle image from problem 1 let 2 4x4 and 4 x50 A What is the value of x B What is the measure of 2 C Find the measure of 3 class=


Answer :

mhanifa

Answer:

  • A) x = 18, B) ∠2 = 68°, C) ∠3 = 112°

Step-by-step explanation:

According to vertical angles theorem, when two lines intersect the opposite angles are equal and adjacent angles are supplementary.

Given

  • ∠2 = 4x-4 and ∠4 = x+50

A) Find the value of x:

  • 4x - 4 = x + 50
  • 4x - x = 50 + 4
  • 3x = 54
  • x = 54/3
  • x = 18

B) Find the measure of angle 2:

  • ∠2 = 4*18 - 4 = 72 - 4 = 68

C) Angles 2 and 3 are supplementary so their sum is 180°.

  • ∠2 + ∠3 = 180
  • 68 + ∠3 = 180
  • ∠3 = 180 - 68
  • ∠3 = 112°

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