Question

Find the value of y in the following figures:​

Answer 1

Answer:

i)y=345° ii)y=65° iii)y=90°

Step-by-step explanation:

i)360°=y+15°

⇒y=360°-15°

⇒y=345°

ii)360°=(2y+10)°+50°+40°+130°

⇒360°=(2y+10)°+220°

⇒(2y+10)°=360°-220°

⇒(2y+10)°=140°

⇒2y=140°-10°

⇒2y=130°

⇒y=130/2

⇒y=65°

iii)360°=y+40°+140°+50°

⇒360°=y+270°

⇒y=360°-270°

⇒y=90°

Answer 2

Step-by-step explanation:

I) y+15=360

y=360-15

y= 345

ii) 2y+10+50+40+130=360

2y+230=360

2y=360-230

2y=130

y = 130÷2

y=65

iii) y+40+140+90=360

y+270=360

y =360-270

y=90