In the given figure $l||m||n$, the value

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure $l||m||n$, the value of $x$ is

Options:

80°

70°

60°

50°

Correct Answer:

50°

Explanation:

Here, $\angle$ ABC = 180° - 120° = 60° (straight angle)

As m||n, $\angle$ ADE = 60°

Now, in ΔADE,

$\angle$A = 70°, $\angle$D = 60° and $\angle$E = X°

⇒ As Sum of all angles of a triangle = 180°

⇒ 70° + 60° + X° = 180°

⇒ X° = 180° - 130° = 50°