Question

Δ PQR is such that ∠P = ∠Q = ∠R = 60° which of the following is true?

Δ PQR is equilateral.

Δ PQR is acute angled.

Both [a] and [b]

Neither [a] nor [b]

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Answer 1

Step-by-step explanation:

Let ∠Q = ∠R = x, ∠p = 60°

But ∠P + ∠Q + ∠R = 180°

∴ 60° + x + x = 180°

⇒ 60° + 2X = 180°

⇒ 2x = 180° - 60° = 120°

⇒ x = 120°/2 = 60°

∴ ∠Q = ∠R = 60°

Hence, ∠R = 60°

Answer 2

$\huge\rm\color{red}ᴀɴsᴡᴇʀ$

(c) Both [a] and [b]

In ΔPQR since all the angles are acute, it is acute angled. Also since all the angles are equal, it is equilateral.