Question
Download Solution PDFदिए गए निम्नलिखित में, OP ⊥ OA तथा OQ ⊥ OB. यदि ∠AOB = 20o तो ∠POQ का मान ज्ञात कीजिए:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
OP ⊥ OA ⇒ ∠POA = 90°
OQ ⊥ OB ⇒ ∠QOB = 90°
∠AOB = 20°
प्रयुक्त सूत्र:
कोण योग धारणा
गणना:
आकृति से, कोण ∠POA, ∠POB और ∠AOB से मिलकर बना है।
⇒ ∠POA = ∠POB + ∠AOB
⇒ 90° = ∠POB + 20°
⇒ ∠POB = 90° - 20°
⇒ ∠POB = 70°
इसी प्रकार, कोण ∠QOB, ∠POQ और ∠POB से मिलकर बना है।
⇒ ∠QOB = ∠POQ + ∠POB
⇒ 90° = ∠POQ + 70°
⇒ ∠POQ = 90° - 70°
⇒ ∠POQ = 20°
∴ ∠POQ का माप 20° है।
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