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Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and the measure of the second angle is (3x
Question
Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and
the measure of the second angle is (3x – 2)°, find the measure of each angle.
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Mathematics
3 years
2021-08-17T18:58:48+00:00
2021-08-17T18:58:48+00:00 1 Answers
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Answer:
The first angle is 23°, the second angle is 67°
Step-by-step explanation:
x° – measure of first angle
(3x-2)° – measure of second angle
Their sum is 90° so
x + 3x – 2 = 90
+2 +2
4x = 92
÷4 ÷4
x = 23
3x-2 = 3•23 – 2 = 69 – 2 = 67
Checking: 23+67 = 90