Question

Answer the following question. Do not spam otherwise your points will be mine.

Answer 1

Answer:

z = 115°, y = 65°, x = 115°

Step-by-step explanation:

z = 180 - 65

y = 180 - z

x = 180 - y

Answer 2

Answer:

• x, y, z are 115°, 65°, 115° respectively.

Step-by-step explanation:

Given :

ABCD is a parallelogram.

One of the angle is 65°

To find :

x , y , z angle measures.

Solution :

We know,

• Opposite angles are equal in a parallelogram.

Hence,

∠A = ∠C = 65°

∴ ∠C(y) = 65°

We know,

• Sum of all angles in a parallelogram is equal to 360°

Hence,

z + x + 65° + 65° = 360°

⇒ 2x + 130° = 360°

⇒ 2x = 230°

∴ x = 115° & z = 115°

Verification :

• Sum of all angles in a parallelogram is equal to 360°

x + y + z + 65° = 360°

⇒ 115° + 65° + 115° + 65° = 360°

⇒ 230° + 130° = 360°

⇒ 360° = 360°

∴ L.H.S = R.H.S