Question

The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X

Answer 1

See Explanation

Explanation:

Given

`ABD = 0.18x +67`

`CBD = 0.07x + 48`

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

`0.18x + 67 = 0.07x + 48`

Collect like terms

`0.18x - 0.07x= - 67 + 48`

`0.11x= -19`

Solve for x

`x = -(19)/(0.11)`

`x = -172.72`

Assume ABD and CBD are supplementary

The solution is:

`ABD + CBD=180`

`0.18x + 67 + 0.07x + 48 = 180`

Collect like terms

`0.18x + 0.07x = - 48 - 67 + 180`

`0.25x = 65`

Solve for x

`x = (65)/(0.25)`

`x = 260`

Assume ABD and CBD are complementary

The solution is:

`ABD + CBD=90`

`0.18x + 67 + 0.07x + 48 = 90`

Collect like terms

`0.18x + 0.07x = - 48 - 67 + 90`

`0.25x = -25`

Solve for x

`x = (-25)/(0.25)`

`x = -100`