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Question
In Fig. 8.42, a is greater than b by one third of a right-angle. Find the values of a and b.
Solution
Since a, b are linear pair
⇒ a + b = 180°
a = 180 - b ........(1)
Now,
⇒ a = b + `1/3` × 90° [given]
⇒ a = b + 30° .......(2)
⇒ a - b = 30°
Equating (1) and (2) equations
180 - b = b + 30°
⇒ 180° - 30° = b + b
⇒ 150° = 2b
⇒ b = `(150°)/2`
⇒ b = 75°
Hence a = 180 - b
= 180 - 75° [ ∵ b = 75°]
a = 105°
∴ a = 105°, b = 75°
[ b = 75°]
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