If A is 26° more than its complementary angle and B is 30° less than its supplementary angle, then find the value of (A - B).

  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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Given:

A is 26° more than its complementary angle.

B is 30° less than its supplementary angle.

Concept used:

Complementary angles are those angles whose sum is 90°

Supplementary angles are those whose sum is 180° 

Calculation:

A + A - 26 = 90

⇒ 2A = 116

⇒ A = 58

B + B + 30 = 180

⇒ 2B = 150

⇒ B = 75

So,

A - B

⇒ 58 - 75

⇒ - 17

∴ required value is - 17

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