Maths-

General

Easy

Question

# Find the value of x.

Hint:

- The angle made by a straight line is called a straight angle.
- Measure of straight angle is 180o.

## The correct answer is: 17

### Step by step explanation:

- Given : 𝑚∠POQ = (3x + 10)° 𝑚∠
*QOR *= 2x°

𝑚∠ROS = 5x°.

- Step 1 : From the figure it is clear that,

∠POS is straight angle hence ∠POS = 180^{o}.

and

∠POS = ∠POQ + ∠QOR + ∠ROS

- Step 2 : Put values of ∠POQ, ∠QOR and ∠ROS

∠POS = ∠POQ + ∠QOR + ∠ROS

180 = (3x + 10) + 2x + 5x

180 = 3x + 2x + 5x + 10

180 = 10x + 10

10x = 180 - 10

10x = 170

x =

x = 17

- Final Answer:

Hence, the value of x is 17.

- Given : 𝑚∠POQ = (3x + 10)° 𝑚∠
*QOR*= 2x°

^{o}.

### Related Questions to study

Maths-

### The graph of the line represents the cost of renting a kayak. Write a linear function in the from y= mx + b represents the relationship of the total Cost ,c, of renting a kayak for t hours?

### The graph of the line represents the cost of renting a kayak. Write a linear function in the from y= mx + b represents the relationship of the total Cost ,c, of renting a kayak for t hours?

Maths-General

Maths-

### Find the odd one out.

### Find the odd one out.

Maths-General

Maths-