Question

find the value of x and y in each of the following diagrams .Solve all three sums correctly. ​

Answer 1

Step-by-step explanation:

1. y + 120° = 180° [ linear pair ]

y = 180° - 120°

y = 60°

Now ,

x+y+50° = 180 [angle sum property of triangle]

x+60°+50° = 180°

x +110° = 180°

x = 180° - 110°

x = 70°

2. x = 60° [ vertical opposite angles ]

x+y+40° = 180° [ angle sum property ]

60° + y + 40° = 180°

110° + y = 180°

y = 180° - 100°

y = 80°

3. y = 90° [ vertical opposite angles ]

x+x+y = 180° [ angle sun property ]

2x+90° = 180°

2x = 180° - 90°

2x = 90°

x = 90° ÷ 2

x = 45°

HOPE IT IS HELPFUL .

PLZ MARK IT AS THE BRAINLIEST .