Ankush Prepare Poster In Form Of Parallelogram As In Figure

Ankush prepare a poster in the form of parallelogram , as in figure. (i) If ∠A = (5x + 7) … a slogan on poster which value is…

Answers:

(i) Since sum of adjacent angles of parallelogram is 180°
∴ We have ∠A + ∠B = 180°
⇒ 5x + 7 + 3x – 3 = 180°
⇒ 8x + 4 = 180°
⇒ 8x = 176°
⇒ x = 176°/8 = 22°
∴ ∠A = (5x + 7)°
= 5 × 22° + 7 = 117°
∠B = (3x – 3)° = 3 × 22° – 3 = 63°
∠C = ∠A = 117° [opposite angles of a ||gm]
and ∠D = ∠B = 63°
(ii) Properties of parallelogram
(iii) By saving electricity, saving energy.