Question

∠ABD and ∠BDE are supplementary. Find the measures of both angles.

26. m∠ABD = 5x°, m∠BDE = (17x - 18)°

Answer 1

Supplementary means that the angles have to add up to 180, so you have your equation.

180=5x+17x-18

198=22x

x=9

Then to find the measures of the angles, you plug x back in.

m∠ABD=5(9)=45 degrees

m∠BDE=17(9)-18=153-18=135 degrees