வரைபடத்தில், M என்பது  என்பதன் நடுப்புள்ளி, ∠XYZ = 32°மற்றும் ∠XYZ = 16°. ∠XZY இன் அளவு என்ன ?

This question was previously asked in
RRC Group D Previous Paper 9 (Held On: 27 Sep 2018 Shift 1)
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  1. 68°
  2. 84°
  3. 81°
  4. 74°

Answer (Detailed Solution Below)

Option 4 : 74°
Free
RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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ΔXYM இல்,

∠XYM + ∠XMY + ∠YXM = 180°

⇒ 16° + (180° – ∠XMZ) + ∠YXM = 180° (∵ ∠XMY + ∠XMZ = 180°)

⇒ 16° + 180° – 32° + ∠YXM = 180°

⇒ ∠YXM = 16° = ∠XYM

∴ YM = XM = MZ (∵ M என்பது YZ இன் நடுப்புள்ளி)

∴ ∠MXZ = ∠MZX = ∠XZY

ΔXMZ இல்

∠XMZ + ∠MXZ + ∠MZX = 180°

⇒ 32° + ∠MXZ + ∠MXZ = 180°

⇒ 2 × ∠MXZ = 180° – 32°

⇒ ∠MXZ = 74°

⇒ ∠XZY = ∠MXZ = 74°

∴ ∠XZY இன் மதிப்பு 74° ஆகும்

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