Question

in fig AOC is a line , find x​

Answer 1

Answer:

$\longmapsto$ 55°

Step-by-step explanation:

As per the provided information in the given question, we have :

• Measure of ∠AOB = 70°
• Measure of ∠COB = 2x°

We are asked to find the value of x.

Clearly, AOC is a straight angle. Measure of straight angle is always 180°. So, the sum of all the angle lying on the straight line will measure upto 180°.

According to the question :

⇒ ∠AOB + ∠COB = 180°

Substitute the values of the angles given in the provided figure.

⇒ 70° + 2x° = 180°

Now, transpose 70° from L.H.S to R.H.S. Its sign will get changed.

⇒ 2x° = 180° - 70°

Performing subtraction in the R.H.S.

⇒ 2x° = 110°

Transposing 2 from L.H.S to R.H.S, its arithmetic operator will get changed.

⇒ x° = 110° ÷ 2

Dividing 110 by 2.

⇒ x° = 55°

∴ The value of x is 55.

___________________________

V E R I F I C A T I O N :

The sum of all the angle lying on the straight line will measure upto 180°.

⇒ ∠AOB + ∠COB = 180°

L.H.S :

→ 70° + 2x°

→ 70° + 2(55)°

→ 70° + 110°

→ 180°

R.H.S :

→ 180°

L.H.S = R.H.S, hence verified!

Answer 2

Answer:

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