Question

how do I find the value of x and or y in the diagram below using all steps

Answer 1

Answer:

4. using complete angle

3x+3*91=360

3(X+91)=360

X+91=360÷3

X=120-91

X=29

5. using Linea pair

4x-10+90+X=180

5X+80=180

5X=180-80

X=100/5

X=20 degree

4x-10=80-10=70degree

6.2X=y-x (vertically opposite angle)

3x=y ......1

2x+y+X=180 (linear pair)

3x+y=180

2y=180...by eqn 1

y=90 degree

putting in eqn 1

X=90/3

X=30degree

7. y=3x+6....(vertically opposite angle)....1

x-10+x-11+3x+6=180....(linear pair)

5x-15=180

5x=180+15

X=165/5

X=33degree

y=3*33+6

y=105 degree