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Aptitude · Q147

Geometry

Competitive Exams · Aptitude · question 147

Q147

In the following figure, if angles ∠ABC = 95°, ∠FED = 115° (not to scale). Then the angle ∠APC is equal to:

In the following figure, if angles ∠ABC = 95°, ∠FED = 115° (not to scale). Then the angle ∠APC is equal to:
Geometry mcq question image
A.
120°
B.
150°
Answer
C.
135°
D.
155°

Answer: Option B

Solution

Answer: Option B
Solution:
Geometry mcq question image
(External angle of ΔAFP)
∠ABC = 95°, ∠FED = 115°
In, FABC,
∠AFC = 180° - 95° = 85°
In FEDA,
∠FAD = 180° - 115° = 65°
So, ∠APC = 85° + 65° = 150°