Note : (x is not multiplication sign anywhere)
The angles of a pentagon are x⁰ , (x - 10)⁰ , (x + 20)⁰ , (2x - 44)⁰ and (2x - 70)⁰ . Calculate x.

Question

Note : (x is not multiplication sign
anywhere)
The angles of a pentagon are x0 , (x - 10)0 ,
(x + 20)0 , (2x - 44)0 and (2x -
70)0 Calculate x

Varun Rawat · Accepted Answer

Let ABCDE be a pentagon
Let ∠A = x°; ∠B = x-10°; ∠C = x+20°; ∠D = 2x-44°; ∠E = 2x-70°Now, ∠A +∠B + ∠C + ∠D + ∠E = 540°  Angle sum property⇒x° +  x-10° +  x+20° + 2x-44° +  2x-70° = 540°⇒7x - 104° = 540°⇒7x = 540° + 104°⇒7x = 644°⇒x = 92

Note : (x is not multiplication sign anywhere) The angles of a pentagon are x0 , (x - 10)0 , (x + 20)0 , (2x - 44)0 and (2x - 70)0 . Calculate x.

Note : (x is not multiplication sign anywhere)
The angles of a pentagon are x⁰ , (x - 10)⁰ , (x + 20)⁰ , (2x - 44)⁰ and (2x - 70)⁰ . Calculate x.