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## Two angles are complementary ( the sum of the two angles is 90°). The sum of the first angle plus twice the second angle is 150°. Find the m

Question

Two angles are complementary ( the sum of the two angles is 90°). The sum of the first angle plus twice the second angle is 150°. Find the measures of the angles.

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Mathematics
1 year
2021-09-03T14:59:00+00:00
2021-09-03T14:59:00+00:00 1 Answers
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## Answers ( )

Answer:30 and 60

Step-by-step explanation:Let x represent the first angle

(x) the sum of the first angle plus twice of the second angle 2(90 – x)

x + 180 – 2x = 150

180 – 150 = 2x – x (we export like terms to the same side of the equation)

30 = x is the measure of the first angle and since the second angle is complementary to this the measure of the second angle is 90 – 30 = 60