Question

```````98 POINTS QUESTION!!!!!!!!`````

If ΔPQR; if ∠P = 36°, ∠Q = 64°, then ____ is the longest side of the triangle/

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Answer 1

Heya!!!!

HERE IS YOUR ANSWER
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In ΔPQR

Angle P = 36°
Side opposite to angle P = QR

Angle Q = 64°
Side opposite to angle Q would be PR

Angle R = 180-64-36 = 80°(by triangle sum property)
Side opposite to angle R would be PQ

As per the rule,
Side opposite to greatest angle is the longest.

Greatest angle = Angle R
Longest side = side PQ

Hence the longest side of the triangle is PQ

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HOPE IT HELPS!!!

Answer 2

$\boxed{ANSWER..}$

Given ,

In ∆PQR ;

Angle P = 36°

Angle Q = 64°

Angle Q = ?

We know that the sum of the three angles of a ∆ is 180°.

Angle (P + Q + R) = 180°

36 + 64 + R = 180°

100 + R = 180°

Angle R = 180 - 100

Angle R = 80°

In these three angles the latest angle is Angle R i.e. 80°..

We know that the side opposite to the biggest angle is the longest side.

So, the line opposite to angle R = PQ..

So, The longest side of the ∆ is side PQ.

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