Question

answer the question step by step​

Answer 1

Answer:

x=32°

Step-by-step explanation:

Check picture

Answer 2

Given:

• ∠POR = (2x + 60)°
• ∠QOR = (3x - 40)°

To find:

⟶ Value of x = ?

Method:

First let's understand the concept used.

Concept used:

Sum of angles lying on a straight line is 180°.

This is known as 'Linear pair of angles'

Applying Linear Pair of Angles,

(2x + 60)° + (3x - 40)° = 180°

⇒ 2x + 60 + 3x - 40 = 180°

⇒ 5x + 20 = 180°

⇒ 5x = 180 - 20

⇒ 5x = 160

⇒ x = 32

∴ x = 32°

Know More:

Let's find the measure of each angles.

For finding ∠POR

∠POR = 2x + 60°

→ ∠POR = 2(32) + 60°

→ ∠POR = 64 + 60°

→ ∠POR = 124°

For finding ∠QOR

→ ∠QOR = 3x - 40°

→ ∠QOR = 3(32) - 40

→ ∠QOR = 96 - 40

→ ∠QOR = 56°