Maths-

General

Easy

Question

# Find x and hence find 𝑚∠𝐶𝑂𝐷

Hint:

- The angle whose measure is 90o is called a right angle.
- Measure of straight angle is 180o.

## The correct answer is: 130/3

- Step by step explanation:
- Given:

𝑚∠COD = (x + 20)°

𝑚∠COP = 2x°.

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

∠POD is right angle hence ∠POD = 90^{o}.

and

∠POD = ∠COD + ∠COP

- Step 2:
- Put values of ∠COD and ∠COP

∠POD = ∠COD + ∠COP

90 = (x + 20) + 2x

90 = 2x + x + 20

90 = 3x + 20

3x = 90 - 20

3x = 70

x =

- Step 3:
- ∠COD = x + 20

+ 20

+

+

- Final Answer:

Hence, the 𝑚∠𝐶𝑂𝐷 is .

- Given:

^{o}.

and

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