Question

What thefuc is going on

Answer 1

The measures of angles ADB and BDC add up to the measure of angle ADC:

`134^\circ=(5x+4)^\circ+(7x-2)^\circ`

`\implies134=12x+2`

`\implies12x=132`

`\implies x=11`

Then

`m\angle BDC=(7\cdot11-2)^\circ=\boxed{75^\circ}`