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1. Let the angle = x
the complementary = y
x + y = 90
x - y = 34 -
-----------------
2y = 56
y = 56 : 2
y = 28°
x + y = 90
x + 28 = 90
x = 90 - 28
x = 62°
The pair of complementary angles is 62° and 28°
2. Let the angle = x
x = 4(90 - x) - 25
x = 360 - 4x - 25
x + 4x = 335
5x = 335
x = 335 : 5
x = 67°
3. Let the angle = x
a. x = (180 - x) + 48
x = 180 - x + 48
x + x = 228
2x = 228
x = 228 : 2
x = 114°
b. x = 1/9 × (90 - x) (multiply with 9 for both sides)
9x = 90 - x
9x + x = 90
10x = 90
x = 90 : 10
x = 9°
the complementary = y
x + y = 90
x - y = 34 -
-----------------
2y = 56
y = 56 : 2
y = 28°
x + y = 90
x + 28 = 90
x = 90 - 28
x = 62°
The pair of complementary angles is 62° and 28°
2. Let the angle = x
x = 4(90 - x) - 25
x = 360 - 4x - 25
x + 4x = 335
5x = 335
x = 335 : 5
x = 67°
3. Let the angle = x
a. x = (180 - x) + 48
x = 180 - x + 48
x + x = 228
2x = 228
x = 228 : 2
x = 114°
b. x = 1/9 × (90 - x) (multiply with 9 for both sides)
9x = 90 - x
9x + x = 90
10x = 90
x = 90 : 10
x = 9°
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