Question

find the values of the angles x , y and z in each of the following please fast please ​

Answer 1

Answer:

I hope it will help you...!!!

Answer 2

1) Answer :

• The value of x = 55°
• The value of y = 125°
• The value of z = 125°

Given :

• The measure of one angle = 55°

To Find :

• Value of x, y and z.

Solution :

By vertically opposite angle (V.O.A.),

→ x = 55°

→ y + 55° = 180° [Linear pair]

→ y = 180° – 55°

→ y = 125°

Again, by vertically opposite angle (V.O.A.),

→ z = y

→ z = 125°

Hence,

The value of x, y and z is 55°, 125° and 125°.

Verification :

• x + y + z + 55° = 360° [Complete angle]

We have,

• x = 55°
• y = 125°
• z = 125°

→ 55° + 125° + 125° + 55° = 360°

→ 110° + 250° = 360°

→ 360° = 360°

Hence Verified !

_________________________

2) Answer :

• The value of x = 115°
• The value of y = 140°
• The value of z = 40°

Given :

The measure of two angles :

• First angle = 40°
• Second angle = 25°

To Find :

• The value of x, y and z.

Solution :

By vertically opposite angle (V.O.A.),

→ z = 40°

→ 40° + x + 25° = 180° [Linear pair]

→ x + 65° = 180°

→ x = 180° – 65°

→ x = 115°

→ y + z = 180° [Linear pair]

→ y + 40° = 180°

→ y = 180° – 40°

→ y = 140°

Hence,

The value of x, y and z is 115°, 140° and 40°.

Verification :

• x + y + z + 40° + 25° = 360° [Complete angle]

We have,

• x = 115°
• y = 140°
• z = 40°

→ 115° + 140° + 40° + 40° + 25° = 360°

→ 255° + 105° = 360°

→ 360° = 360°

Hence Verified !