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

x = `312/12` = 26°

(ii) ∠ABC = 4x

4 × 26 = 104°

(iii) ∠ACD = 180° - 4x - 48°

= 180° - 4 × 26° - 48°

= 180° - 104° - 48°

= 180° - 152° = 28°