Q79
In triangle ABC, ∠BAC = 75°, ∠ABC = 45°, BC is produced to D. If ∠ACD = x°, then x/3 % of 60° is
In triangle ABC, ∠BAC = 75°, ∠ABC = 45°, is produced to D. If ∠ACD = x°, then % of 60° is
A.
30°
B.
48°
C.
15°
D.
24°
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
According to question,
Given : ∠A = 75°, ∠B = 45°
∴ ∠ACD = ∠A + ∠B
x° = ∠ACD = 120°
Now, % of 60° is
= % of 60°
= 40% of 60°
= × 60°
= 24°