In a quadrilateral ABCD, ∠D is equal to 150° and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.

Question

In a quadrilateral ABCD, ∠D is equal to 150° and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.

Harshit Singh · Answer

Dear Student &ang;D = 150&deg; Let&ang;A =&ang;B =&ang;C = x By angle sum property of quadrilateral, &ang;A + &ang;B + &ang;C +&ang;D = 360&deg; x + x +x+&ang;D = 360&deg; 3x+&ang;D = 360&deg; 3x = 360&deg;&ndash;&ang;D 30 = 360&deg; &ndash; 150&deg; 3x = 210&deg; x = 70&deg; Hence,&ang;A =&ang;B =&ang;C = 70&deg;. Thanks

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In a quadrilateral ABCD, ∠D is equal to 150° and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.

In a quadrilateral ABCD, ∠D is equal to 150° and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.

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