Question

In the given figure, if BD || EF and ACE=80⁰ find the values of x, y, and z.​

Answer 1

Answer:

Answer:

x=60°,y=30°,z=140°

80+x=2x/3=180

180-80=2x/3+x

100=2x/3+x

100=5x/3

3*100=5x

300/5=x

∠x=60°

∠B=90° ,∠BCAor ∠x= 60°

so interior angles should be 180°

90+60+y=180°

y=180-150

∠y=30°

∠z=140° because line BD║EF so parrallel lines have alternate interior angles equal if you observe ∠BCE and ∠CEF  are alternate interior angles

so ∠x+80°=∠z

60°+80°=∠z

∠z=140°