Question

The opposite angles formed by two intersecting lines are (5× - 10 ) and 60 . Find the value of x ​

Answer 1

• Value of x is 14°.

Step-by-step explanation:

To find:-

• Value of x.

Solution:-

• Given that, if two lines are intersecting opposite angles are (5x - 10)° and 60°.

So,

We know that,

If two lines bisect or intersect there vertical opposite angles are equal.

So,

➝ (5x - 10)° = 60°

➝ 5x = 60° + 10°

➝ 5x = 70°

➝ x = 70°/5

➝ x = 14°

Verification:-

➝ (5x - 10)° = 60°

• Put x = 14°

➝ (5×14)° - 10° = 60°

➝ 70° - 10° = 60°

➝ 60° = 60°

Hence, Verified.

Therefore,

Value of x is 14°.