Question
Download Solution PDFएक आयत PQRS में, यदि m ∠ QPR = 26° है, तो m ∠ SQR = ________
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
∠ QPR= 26°
प्रयुक्त अवधारणा:
कोण एक समद्विबाहु त्रिभुज की संगत समान भुजा के बराबर होते हैं
गणना:
चूंकि विकर्ण बराबर होते हैं और वे एक दूसरे को मध्यबिंदु पर समद्विभाजित करते हैं
⇒ अतः, SO = OR
त्रिभुज OPQ में
⇒ OP = OQ
⇒ इसलिए, ∠OPQ = ∠OQP = 26°
जैसा कि हम जानते हैं कि आयत का प्रत्येक कोण 90 ° का होता है
⇒ ∠Q = ∠OQP + ∠OQR
⇒ 90° = 26° + ∠OQR
⇒ ∠OQR = 90 - 26 = 64°
⇒ इसलिए, आवश्यक मान 64° है
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