Question

In the given figure, lines l and m intersect each other at a point. Which of the following is FALSE?

Answer 1

Solution :-

checking all given options we get,

A) ∠c + ∠d = 180°

• False .
• ∠c = ∠d { Vertically opposite angles. }

B) ∠c + ∠a = 90°

• False .
• ∠c + ∠a = 180° { Linear pair angles . }

C) ∠a = 360° - (∠b + ∠c + ∠d)

• True .
• Complete angle is equal to 360° .

D) ∠c = ∠b .

• False .
• ∠c = ∠d and ∠b = ∠a { Vertically opposite angles. }

therefore, Only (C) is true and (A) , (B) and (D) are false .

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