Question

An angle of a quadrilateral is 93 degree another are equal find the other angles

Answer 1

sum of all angle=360°

A+B+C=360°

93°+3x=360°

3x=360°-93°

3x=267°

x=267/3°

x=89°

Answer 2

GIVEN :-

• One angle of quadrilateral is 93°.
• Another angles are equal.

TO FIND :-

• The another angles.

SOLUTION :-

➵ ∵ All the angles are equal , Let other each angle be x.

∵ Sum of all angles of quadrilateral = 360°

⇒∠A + ∠B + ∠C + ∠D = 360°

⇒ x + x + x + 93° = 360°

⇒ 3x + 93° = 360°

⇒ 3x = 360° - 93°

⇒ 3x = 267°

⇒ x = 267° / 3

⇒ x = 89°

Hence other three angles are 89° each.

VERIFICATION :-

∵ Sum of all angles of quadrilateral = 360°

⇒∠A + ∠B + ∠C + ∠D = 360°

⇒ 89° + 89° + 89° + 93° = 360°

⇒ 360° = 360°

L.H.S = R.H.S

HENCE VERIFIED ✔