1.

In ΔABC, ∠A : ∠B : ∠C = 3 : 3 : 4. A line parallel to BC is drawn which touches AB and AC at points P and Q respectively. What is the value of ∠AQP - ∠APQ?1). 12°2). 18°3). 24°4). 36°

Answer»

SOLUTION:

GIVENIn ∆ABC,

Let us take the ratio as 'k'.

That is,

So, 3k + 3k + 4k = 180⁰ (sum of all the angles of a triangle is 180⁰)

10k = 180⁰

k = 18⁰

Therefore,

Since LINE PQ is parallel to BC,

So,

= 72⁰ - 54⁰

=18⁰

So, the CORRECT option is 2). 18⁰



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