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In a quadrilateral ABCD, the measure of the three angles A, B and C of the quadrilateral is 110°, 70° and 80°, respectively. Find the measure of the fourth angle.

In a quadrilateral ABCD, the measure of the three angles A, B and C of the quadrilateral is 110°, 70° and 80°, respectively. Find the measure of the fourth angle.

 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

∠A = 110°

∠B = 70°

∠C = 80°

∠D = x

We know that the sum of all internal angles of quadrilateral ABCD is360°.

∠A +∠B+∠C+∠D = 360°

110°+ 70°+ 80°+ x= 360°

260° + x = 360°

x = 360°– 260°

x = 100°

Therefore, the fourth angle is 100°.

Thanks

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