In Delta PQR ang P ang Q ang R 1 3 5 What is the value in degrees of ang R ang P ........

Quantitative Aptitude (CPO) Geometry

In ΔPQR, ∠P : ∠Q : ∠R = 1 : 3 : 5. What is the value (in degrees) of ∠R - ∠P?

Let’s break it down:

- In any triangle, the sum of all angles is 180 degrees.

- They tell us ?P : ?Q : ?R = 1 : 3 : 5.

- If we call the common ratio x, then ?P = x, ?Q = 3x, ?R = 5x.

- Adding them up: x + 3x + 5x = 9x = 180, so x = 20.

- That means ?P = 20°, ?Q = 60°, ?R = 100°.

- They want ?R - ?P = 100° - 20° = 80°.

Here are your options:

- Option 1: 30 (No.)

- Option 2: 80 ()

- Option 3: 45 (No.)

- Option 4: 60 (No.)

So, option 2 is absolutely the answer.

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