Question

In PQR, PQ = QR and Q = 90°. Find P and R.
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Answer 1

Answer:

If in triangle PQR, PQ = QR and Q = 90°, then ∠R =  ∠P = 45°.

Step-by-step explanation:

Angles opposite the equal sides of a triangle are always equal.

In PQR,

If  PQ = QR

Then  ∠R =  ∠P

The sum of all angles are triangle is 180°.

If Q = 90° and ∠R =  ∠P = x

then ∠P + ∠Q + ∠R =  180°

x + 90° + x =  180°

2x + 90° = 180°

2x = 180° - 90°

2x = 90°

x = 90/2 = 45°

So, ∠R =  ∠P = 45°