Question
Download Solution PDFIf A is 26° more than its complementary angle and B is 30° less than its supplementary angle, then find the value of (A - B).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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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