A അതിന്റെ പൂരക കോണിനേക്കാൾ 26° കൂടുതലും B അതിന്റെ അനുബന്ധ കോണിനേക്കാൾ 30° കുറവുമാണെങ്കിൽ, (A - B) യുടെ മൂല്യം കണ്ടെത്തുക.

  1. 17
  2. - 17
  3. - 15
  4. 15

Answer (Detailed Solution Below)

Option 2 : - 17
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Detailed Solution

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നൽകിയിരിക്കുന്നത്:

A അതിന്റെ പൂരക കോണിനേക്കാൾ 26° കൂടുതലാണ്.

B അതിന്റെ അനുബന്ധ കോണിനേക്കാൾ 30° കുറവാണ്.

ഉപയോഗിച്ച ആശയം:

ആകെത്തുക 90° ആകുന്ന കോണുകളാണ് പൂരക കോണുകൾ (Complementary angle).

ആകെത്തുക 180° ആകുന്ന കോണുകളാണ് അനുബന്ധ കോണുകൾ (Supplementary angles).

കണക്കുകൂട്ടൽ:

A + A - 26 = 90

⇒ 2A = 116

⇒ A = 58

B + B + 30 = 180

⇒ 2B = 150

⇒ B = 75

അതിനാൽ,

A - B

⇒ 58 - 75

⇒ - 17

∴ ആവശ്യമായ മൂല്യം - 17 ആണ്.

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