Question

If three angles of a quadrilateral are 20°, 90° and 90°, find the fourth angle of the
- quadrilateral​

Answer 1

solution

Sum of all the angles in a quadrilateral = 360

therefore, 20 + 90 + 90 + x = 360

=> 200 + x = 360

=> x = 360 - 200

=> x= 160

$\large{\boxed{\boxed{\mathcal{\red{VERIFICATION}}}}}$

To verify it put the value of x

=> 20 + 90+ 90+ 160 = 360

=> 360 = 360

hence, LHS = RHS

Therefore the answer is 160 degree

Answer 2

Here Is Your Ans ⤵

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Ans :-

➡160°

Given :-

➡∠A = 20°

➡∠B = 90°

➡∠C = 90°

To Find :-

➡Fourth Angle Of A Quadrilateral = ?

Solution :-

We Know That , Sum Of All The 1 angles of a quadrilateral is 360°

➡∠A+ ∠B + ∠C + ∠D = 360°

➡20° + 90°+ 90°+ ∠D = 360°

➡∠D = 360° – (20° + 90° + 90°)

➡∠D = 360° - 200°

➡∠D = 160°

Hence , The Fourth Angle Of A Quadrilateral Is 160°

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