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

Sagot :

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

[tex](7x+1)+(9x-7)=180^o[/tex][tex]16x-6=180[/tex][tex]16x=186[/tex][tex]x=11.625[/tex]

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

[tex]\measuredangle BDC=7x+1[/tex][tex]\measuredangle BDC=7(11.625)+1[/tex][tex]\measuredangle BDC=32.375^o[/tex]