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Answer:
1. X = 12
2. X = 11
Step-by-step explanation:
Complimentary angles equals 90°
1. 3x + 6 + 48 = 90
3x + 54 = 90
3x = 90 - 54
3x = 36
x = 12
2. 3x + 5x + 2 = 90
8x = 90 - 2
8x = 88
x = 11
See attached picture for additional notes or explanation.
SOLUTION:
#1.
∠1 + ∠2 = 90°
(3x + 6) + 48 = 90
3x + 54 = 90
3x = 90 - 54
3x = 36
x = 36/3
x = 12
so measurement of the ∠1 is:
∠1 = 3x + 6
∠1 = 3(12) + 6
∠1 = 36 + 6
∠1 = 42°
#2.
∠1 + ∠2 = 90°
3x + (5x + 2) = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 11
so measurement of the ∠1 is:
∠1 = 3x
∠1 = 3(11)
∠1 = 33°
so measurement of the ∠2 is:
∠2 = (5x + 2)
∠2 = 5(11) + 2
∠2 = 55 + 2
∠2 = 57°
* as always, double check my answers for errors or carelessness.
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