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Question
In the given figure, AB is perpendicular to BC at B.
Find:
(i) the value of x.
(ii) the complement of angle x.
Solution
(i) In the given figure,
AB + BC at B.
∴ ∠ABC = 90°
⇒ x + 20° + 2x + 1° + 7x − 11° = 90°
⇒ 10x + 10° = 90°
⇒ 10x = 90°− 10° = 80°
⇒ x =`(80°)/10` = 8°
Hence x = 8°
(ii) Complement of angle x = 90°− x
= 90°− 8° = 82°
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