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Classification of Triangles Based on Sides

In Δ PQR , ∠ ...

Question

In $∆$ PQR, $∠$ P = 70^°, $∠$ Q = 65 ° then find $∠$ R.

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Solution

In $∆$ PQR,
∠P + ∠Q + ∠R = 180^∘ (Angle sum property)
⇒ 70^∘ + 65^∘ + ∠R = 180^∘
⇒ 135^∘ + ∠R = 180^∘
⇒ ∠R = 180^∘ − 135^∘
= 45^∘
Hence, the measure of $∠$ R is 45^∘.

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∆

∠

-

∠

°

∠

∠

°

∠

∠

∠

Δ

∠

= 70^{o}

∠

= 65^{o}

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∠ Q = 65^{o}

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