Question

From the following figure find ;

(i) x,

(ii) ∠ABC,

(iii) ∠ACD.

Answer 1

(i) In Quadrilateral ABCD,

x + 4x + 3x + 4x + 48° = 360°

12x = 360° – 48°

12x =312

(ii) ∠ABC = 4x

4 x 26 = 104°

(iii) ∠ACD = 180°- 4x - 48°

= 180°- 4 × 26°-48°

= 180°-104°- 48°

= 180°-152° = 28°