Question

HELP ME PLEASE HELP ME
hi can you please solve these two questions please I beg you ​

Answer 1

Answer:

To Find:- x and y

Solution:-

2x+y=180°(adjacent angles are supplementary)

y=3x(alternate interior angles are equal)

then

2x+3x=180

5x=180

x=180/5

x=36°

therefore the angles are

3x=108°

y=3x==108°

2x=2×36=72°

Let's check whether it's correct or not

y+2x=180

108+2×36=180

108+72=180

180=180

L.H.S=R.H.S

hence verified

To Find:- angle AOC & angle BOD,also x

Solution:-

3x-5+55+x+20=180°(adjacent angles are supplementary)

4x+70=180

4x=180-70

4x=110

x=110/4

x=27.5

therefore

angle COD=55°

angle AOC=3x-5=3×27.5-5=82.5-5=77.5

angle BOD=x+20=27.5+20=47.5

Let's check whether it's correct or not

angle COD+angle AOC+angle BOD=180

55+77.5+47.5=180

180=180

L.H.S=R.H.S

hence verified