Vidyalelo
Aptitude · Q54

Geometry

Competitive Exams · Aptitude · question 54

Q54

In a ΔABC, ∠ABC = 2∠CAB, if the side BC is extended to D and ∠ACD = 126°, then ∠CAB is:

A.
84°
B.
36°
C.
42°
Answer
D.
63°

Answer: Option C

Solution

Answer: Option C
Solution:
Geometry mcq question image
Let,
∠CAB = x
∠ABC = 2x
∠ACD = 3x = 126° (by exterior angle)
3x = 126°
x = 42°
∠CAB = 42°