Question

PO||RS
find x,y,z
answer the question ​

Answer 1

Answer:

Given:-

PQ || RS

thus

x=60°(alternate interior angles are equal)

here

angle ACS+ angle ACB=180°(linear pair/adjacent angles)

110+angle ACB=180

angle ACB=180-110

angle ACB=70°

and also

z=angle ACB(alternate interior angles are equal)

z=70°

we can find y in two ways

that is

1) here

x+y+angle ACB=180°(sum of all interior angles of a triangle are supplementary)

60+y+70=180

130+y=180

y=180-130

y=50°

or else

2) Here

y+60+z=180°(linear pair/adjacent angles)

y+60+70=180

y+130=180

y=180-130

y=50°

you can use any of your choice from 1 & 2

hope it helps

Answer 2

Answer:

x= 60

y=50

z=70

Step-by-step explanation:

y+60=angle ACS = 110 (alternate interior angle)

y=110-60

y=50

z+y+60=180(linear pair of angle)

z=180-60-y

z=180-60-50(y=50)

z=70

x=60(alternate interior angle)