Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, if AB, DE are parallel and ∠ABC = 48°, then the value of ∠ACB + 1.5 ∠ACD is?

 

Options:

100°

48°

148°

80°

Correct Answer:

148°

Explanation:

ATQ,

3a = 48°

a = 16° 

Now, as per parallel line concept:

⇒ ∠ABC + ∠DCB = 180°

⇒ 3a + 2a + b = 180°

⇒ b = 180° - 80° = 100° = ∠ACB

⇒ Hence, ∠ACB + 1.5∠ACD = b + 1.5(2a) = 100° + 48° = 148°