Question

In the given figures find:
(i) x and y​

Answer 1

Answer:

given;

y+55°= 180°(being supplementary angle)

or, y= 180°- 55°

therefore, Y is 125°

Now,

2x+4 + x+1 + 55° = 180°(being the sum of interior angle of a triangle )

or, 3x+ 60°= 180°

or, 3x= 180°-60°

or, x= 120

3

therefore, x= 40

Step-by-step explanation:

normally, I would do it in a copy and send but I dont have a copy right now so....

hope it helps anyways

Answer 2

Answer:

x = 40° and y° = 125°

Step-by-step explanation:

In the given triangle:

By angle sum property.

» (x + 1)° + (2x + 4)° + 55° = 180°

» x° + 1° + 2x° + 4° + 55° = 180°

» x° + 1° + 2x° + 4° = 180°- 55°

» 3x° + 5° = 125°

» 3x° = 125° - 5°

» 3x° = 120°

» x = 120°

3°

» x = 40°

1st angle = x° + 1° = 40° + 1°= 41°

2nd angle = 2x° + 4° = 2×40° + 4°= 84°

By exterior angle property.

Exterior angle = Sum of two interior opposite angles

» y° = 41° + 84°

[1st angle and 2nd angle are the interior opposite angles for y]

» y° = 125°