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Question
From the following figure find;
- x
- ∠ABC
- ∠ACD
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Solution
(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°
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