Question

find the value of missing angle x​

Answer 1

Answer:

153- 85° = 68° is the correct answer

Answer 2

• Value of x° is 68°.

Step-by-step explanation:

To find:-

• Value of x°.

Solution:-

✽ By First method:-

We know ,

Sum of all angles forms on straight is equal to 180°. This statement is known as linear pair.

So,

➝ ∠1 + 513° = 180°

➝ ∠1 = 180° - 513°

➝ ∠1 = 27°

Sum of all interior angles of triangle is equal to 180°.

So,

➝ ∠1 + x° + 85° = 180°

➝ 27° + x° + 85° = 180°

➝ x° + 112° = 180°

➝ x° = 180° - 112°

➝ x° = 68°

✽ By second method :-

We know,

Sum of two interior angles of triangle is equal to one opposite exterior angle.

➝ x° + 85° = 153°

➝ x° = 153° - 85°

➝ x° = 68°

Therefore,

Value of x is 68°.