Question

Find the value of the angles XYZ in each of the following​

Answer 1

Step-by-step explanation:

x= 55

y+55=180

y=180-55=125

y=z=125

Answer 2

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

Given :

• One angle = 55°.

To Find :

The other three angles :-

• The value of x.
• The value of y.
• The value of z.

Solution :

Given,

One angle = 55°.

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

⇒ x = 55°

By linear pair (L.P.),

⇒ x + y = 180°

Where,

• x = 55° [found above]

⇒ 55° + y = 180°

⇒ y = 180° – 55°

⇒ y = 125°

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

⇒ y = z

That means,

⇒ y = 125°

Hence,

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

_________________________

Verification :

We know that,

Complete angle = 360°

That means,

55° + x + y + z = 360°

We have,

• x = 55°
• y = 125°
• z = 125°

⇒ 55° + 55° + 125° + 125° = 360°

⇒ 110° + 250° = 360°

⇒ 360° = 360°

Hence Verified !