Question

Also, find
Y
х
130°
5. In the given figure, find x, y, z.
у
N
45°​

Answer 1

Answer:

$x + 130 = 180 \\ x = 180 - 130 \\ x = 50 \\ 50 + 45 + y = 180 \\ y = 180 - 95 \\ y = 85degree \\ y + z = 180 \\ 85 + z = 180 \\ z = 95degrees$

Answer 2

Step-by-step explanation:

For y:

By the theorem that states that exterior angle is equal to the sum of opposite interior angles,

=> 45+y = 130

=> y= 130-45

=> y= 85°

For x :

Since, 130° and angle X are pair of linear angles.

=> 130° + x = 180°

=> x = 180° - 130°

=> x = 50°

For z:

By the theorem that states that exterior angle is equal to the sum of opposite interior angles,

=> 45° + x = z

=> 45° + 50° = z

=> 95° = z