Question

If M angle BDC equals 7x + 1 + m angle ADB equals 9x - 7 find M angle BDC

Answer 1

The two angles are supplementary; therefore, they should add up to 180 degrees and we have the equation

`(7x+1)+(9x-7)=180^o`
`16x-6=180`
`16x=186`
`x=11.625`

Having the value of x in hand, we now put it into the equation for BDC to find its measure.

`\measuredangle BDC=7x+1`
`\measuredangle BDC=7(11.625)+1`
`\measuredangle BDC=32.375^o`