Question

Please help me its do tmwr

Answer 1

Answer: X=3

Explanation:

You First Need To Understand That You Have 2 interior angles, and an exterior angle.

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.

This would mean interior angles, D and C add up to exterior angle, CBV.

`< D + < C = < CBV \\9x-2 + 40= 20x + 5\\`

Combine Like Terms, and Isolate X:

`\ \ \ 9x + 38= 20x +5\\-9x \ \ -5 \ \ -9x \ -5\\`

`33 = 11x`

Divide:

`(33)/(11) = (11x)/(11)`

3= x

Checking:

180 - <CBV = <CBD (this is a linear pair)

180- (20(3)+5) = <CBD

180-65= 115

115= 115

<D + <C + <CBD = 180

9x -2 +40 + 115= 180

9(3)-2 +40 +115 =180

25 + 40 + 115= 180

180 = 180