ஒரு இணைகரம் PQRS இல், P மற்றும் Q இன் தொடர்ச்சியான கோணங்களின் இருமுனைகள் T இல் வெட்டுகின்றன. ∠PTQ அளவீடு என்ன?

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RRB Group D 30 Aug 2022 Shift 3 Official Paper
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  1. 50°
  2. 80°
  3. 90°
  4. 70°

Answer (Detailed Solution Below)

Option 3 : 90°
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Detailed Solution

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கொடுக்கப்பட்டது:

PQRS என்பது இணைகரம்.

பயன்படுத்தப்பட்ட கருத்து:

ஒரு எதிர்கோணல் இணைகரத்தில், கோணத் தொகை 180 ஆகும்

கணக்கீடு:

F1 SSC Railways 9-4-24 D1

\(\angle\)PQT=\(\angle\)Q/2

\(\angle\)QPT=\(\angle\)P/2

\(\angle\)P+\(\angle\)Q=180

மாற்றுதல், 

2\(\angle\)PQT+2\(\angle\)QPT = 180

\(\angle\)PQT+\(\angle\)QPT = 90

ஆனால் , \(\angle\)PQT+​\(\angle\)QPT+\(\angle\)PTQ=180(உள் கோணத்தின் கூட்டுத்தொகை 180)

எனவே \(\angle\)PTQ = 180 - 90 = 90° மதிப்பை மாற்றுவதன் மூலம்.

∴ விருப்பம் 3 சரியான பதில்.

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