Question

*एक न्यून कोण का संपूरक कोण होगा:* 1️⃣ न्यून कोण 2️⃣ समकोण 3️⃣ अधिक कोण 4️⃣ उपरोक्त में से कोई नहीं​

Answer 1

Given: An acute angle

एक न्यून कोण

To Find:  Supplementary  angle

संपूरक कोण

Solution:

Two angles are said to be supplementary  संपूरक कोण  if their measures adds up to 180°.

न्यून कोण  Acute angles measure between 0° and 90°

अधिक कोण  Obtuse angle measure between 90° and 180°

समकोण Right angle measures 90°

0° < Acute angle < 90°

90° < obtuse angle  < 180°

Right angle = 90°

one angle is acute  

Let say other angle = x

x + Acute angle = 180°     संपूरक कोण  

=> x = 180° - Acute angle

0° < Acute angle < 90°

Multiplying by -ve

=> 0° > -Acute angle > -90°

Adding 180° each side

=> 180° > 180° -  Acute angle > 90°

=> 180° >  x > 90°

Hence x is obtuse angle  अधिक कोण

x lies between 90° and 180°  

एक न्यून कोण का संपूरक कोण  अधिक कोण होगा

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