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Aptitude · Q79

Triangles

Competitive Exams · Aptitude · question 79

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°
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
According to question,
Triangles mcq solution image
Given : ∠A = 75°,       ∠B = 45°
∴ ∠ACD = ∠A + ∠B
x° = ∠ACD = 120°
Now, % of 60° is
= % of 60°
= 40% of 60°
= × 60°
= 24°