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.
Pawan Prajapati , 5 Years ago
Grade 12
8 grade maths> In a quadrilateral ABCD, ∠D is equal to 1...
1 AnswersHarshit Singh
Dear Student
∠D = 150°
Let∠A =∠B =∠C = x
By angle sum property of quadrilateral,
∠A + ∠B + ∠C +∠D = 360°
x + x +x+∠D = 360°
3x+∠D = 360°
3x = 360°–∠D
30 = 360° – 150°
3x = 210°
x = 70°
Hence,∠A =∠B =∠C = 70°.
Thanks
∠D = 150°
Let∠A =∠B =∠C = x
By angle sum property of quadrilateral,
∠A + ∠B + ∠C +∠D = 360°
x + x +x+∠D = 360°
3x+∠D = 360°
3x = 360°–∠D
30 = 360° – 150°
3x = 210°
x = 70°
Hence,∠A =∠B =∠C = 70°.
Thanks
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