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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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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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