Question

Find x in the adjoining figure:​

Answer 1

Answer:

answer is 140

Step-by-step explanation:

as we know that sum of the angles of a quadrilateral is 360

so x+70 +60 +(180-90). -----(1) { angles on the same line i.e (180 -90)

so solution is 220 + x = 360

-------> x= 360 -220

hence x= 140

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Answer 2

To find:-

• Value of x.

Solution:-

Let Fourth angle of given quadrilateral be y.

We know that,

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

So,

→ y + 90° = 180° [Linear pair]

→ y = 180° - 90°

→ y = 90°

We also know that,

Sum of all interior angles of quadrilateral is 360°.

So,

→ y + x + 70° + 60° = 360°

→ 90° + x + 130° = 360°

→ x + 220° = 360°

→ x = 360° - 220°

→ x = 140°

Verification:-

→ y + x + 130° = 360°

→ 90° + x + 130° = 360°

• Put x = 140°

→ 90° + 140° + 130° = 360°

→ 360° = 360°

Hence, Verified.

Therefore,

Value of x is 140°