Use a definition, postulate, or theorem to find the value of x in the figure described.

∠ABC and ∠CBD are a linear pair. If m∠ABC = m∠CBD = (3x - 6) °, find x.

Select each definition, postulate, or theorem you will use.

A definition of an angle bisector

B definition of a linear pair

C Linear Pair Theorem

D Angle Addition Postulate

The solution is x =

Question

Theodore Craig

Mathematics

19 March, 05:30

Use a definition, postulate, or theorem to find the value of x in the figure described.

∠ABC and ∠CBD are a linear pair. If m∠ABC = m∠CBD = (3x - 6) °, find x.

Select each definition, postulate, or theorem you will use.

A definition of an angle bisector

B definition of a linear pair

C Linear Pair Theorem

D Angle Addition Postulate

The solution is x =

+2

Answers (1)

Know the Answer?

William Kaufman · Answer 1

The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that

m∠ABC and m∠CBD = (3x - 6).

So, you're equation should be (3x - 6) + (3x - 6) = 180.

You would then solve to get 6x - 12 = 180, 6x = 192, x = 32

x=32, and we used the Linear Pair Theorem (C)