13 in a pentagon, two angles are 40 and 60, and the rest are in the ratio 1:3:7 find - Maths -

Question

13 in a pentagon, two angles are 40 and 60, and the rest are in the
ratio 1:3:7 find the biggest angle of the pentagon ​​

Varun.Rawat · Accepted Answer

Let ABCDE be the pentagon
Now, ∠A = 40°; ∠B = 60°Let ∠C = x; ∠D = 3x; ∠E = 7xNow, ∠A + ∠B + ∠C + ∠D + ∠E = 540°  Angle sum property⇒40° + 60° + x + 3x + 7x = 540°⇒11x = 540° - 100°⇒11x = 440°⇒x = 40Now, ∠C = 40°Now, ∠D = 3 × 40° = 120°Now, ∠E = 7×40° = 280°So, biggest angle =∠E =  280°

13. in a pentagon, two angles are 40 and 60, and the rest are in the ratio 1:3:7.find the biggest angle of the pentagon.​​

13. in a pentagon, two angles are 40 and 60, and the rest are in the ratio 1:3:7.find the biggest angle of the pentagon.