Question

3. Angies of a quadrilateral are (4x), 5(x + 2)",
(7x -- 20)and 6(x + 3)". Find :
(i) the value of x.
(ii) each angle of the quadrilateral.​

Answer 1

Angles of quadrilateral are,
(4x)°, 5(x + 2)°, (7x - 20)° and 6(x + 3)°.
4x + 5(x + 2) + (7x - 20) + 6(x + 3) = 360°
4x + 5x + 10 + 7x - 20 + 6x + 18 = 360° = 22x + 8 = 360°
22x = 360°- 8°
22x = 352°
x = 16°
Hence angles are,
(4x)° = (4 × 16)° = 64°,
5(x + 2)° = 5 (16 + 2)° = 90°,
(7x - 20)° = (7 × 16 - 20)° = 92°
6(x + 3)° = 6(16 + 3) = 114°