Question

Three angles of a quadrilateral are 120degree, 96degree and 58degree. Find the fourth angle.

Answer 1

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(d) Given, ∠A = 75°, ∠B = 90° and ∠C = 75°

We know that, sum of all the 1 angles of a quadrilateral is 360°.

∠A+ ∠B + ∠C + ∠D = 360°

⇒ 75° + 90°+ 75°+ ∠D = 360°

∠D = 360° – (75° + 90° + 75°)

= 360° -240° = 120°

Hence, the fourth angle of a quadrilateral is 120°.

Answer 2

ANSWER

Given,

Three angles of quadrilateral are 120°, 96° and 58°

Find,

The fourth angle

Step-by-step explanation:

So,

Let the fourth angle be x°

As we know that,

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

=> 120° + 96° + 58° + x° = 360°

=> 274° + x° = 360°

=> x° = 360° - 274°

=> x° = 86°

Hence,

The fourth angle is 86°