Question

two adjacent angle of a quadrilateral are 90each and the third angle is 140.Find the fourth angle.​

Answer 1

⛦ Given :

• Two adjacent angles of a quadrilateral are 90° each.
• And the third angle is 140°

⛦ To find :

• The measure of the fourth angle of the Quadrilateral.

⛦ Solution :

As we know that,

★Sum of all angles of a quadrilateral is 360° or we can say four right angles.

So,let the fourth angle of the quadrilateral be x.

According to Question,

⟼ 90° + 90° + 140° + x = 360°

⟼ 320° + x = 360°

⟼ x = 360° - 320°

⟼ x = 40°

Therefore, the fourth angle of the Quadrilateral is 40°.

______________

Check :

Sum of all angles of quadrilateral = 360°

⟼ 90° + 90° + 140° + 40° = 360°

⟼ 360° = 360°

Thus, answer is correct.

Answer 2

Given:-

❍ Two adjacent angle of a quadrilateral are 90°

❍ The third angle is 140°

To find:-

❍ Measure of the fourth angle!

As we know that:-

❍ The sum of all the angles of a quadrilateral is 360°.

Required Solution:-

Sum of all interior angles of quadrilateral

= 360°

Let the fourth angle be x.

$\longrightarrow\sf \: A + B + C + D = 360°$

$\longrightarrow \sf \: 90° + 90° + 140° + x = 360°$

$\longrightarrow \sf \: x = (360 \: - \: 320)° = <strong>40°</strong>$

Hence,

The fourth angle of the quadrilateral is 40°.