15°
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The angles are: 150+30 = 180 degrees
130 Degrees180-24=156So you know that the sum of all the angles is 180, so the sum of the other two angles is 156. You Know that angle p is equal to some number x. And you know the angle n is five times some number x or 5x. You know the sum of the two angles numerically and algebraically.6x=156x=26n=5xn=5(26)n=130
Let first angle be "A", second angle "B" and third angle "C", then C = B - 5 A = 3B + 5 But "A" + "B" + "C" must rqual 180 Substitue for "A" and "C" and we get 3B + 5 + B + B - 5 = 180 5B = 180 or B = 36 degrees Therefore A = 3 x 36 + 5 = 113 degrees and C = 31 degrees Verification: A + B + C = 113 + 36 + 31 = 180
Five of the six exterior angle measures of a nonregular hexagon measure 55, 60, 69, 57, and 57. what is the measure of the unterior angle adjacent to the sixth exterior angles?
go off
Angle and its complement have a sum of 90 degrees: A+C = 90 Angle plus five times its complement is 298 degrees: A+5C = 298 Subtract first equation from the second: 4C = 208 C = 52 So, the complement is 52 degrees and the angle is 38 degrees
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Complementary angles add up to 90 degrees. If one angle is five times the measure of the other, you can express their measurements as 5x and x. The original angle is x degrees and its complement is 5x degrees. Set the sum of the two angles equal to 90 and solve for x. 5x + x = 90 6x = 90 x = 15 The angle is 15 degrees. Its complement is 5(15) = 75 degrees. 75 + 15 = 90.
Suppose the angle is x degrees. Then its complement is x/5 deg So x + x/5 = 90 or 6x = 450 ie x = 75 degrees.
15 and 75
150o
Suppose the supplement of the angle is x degrees. Then the angle is 180 - x degrees. Therefore the complement of the angle is 90 - (180 - x) degrees = x - 90 degrees. So 5*(x - 90) - 2*x = 40 Solve the above equation for x.
The angles are: 150+30 = 180 degrees
The degree measure of five fourths of a right angle is 112.5 degrees
130 Degrees180-24=156So you know that the sum of all the angles is 180, so the sum of the other two angles is 156. You Know that angle p is equal to some number x. And you know the angle n is five times some number x or 5x. You know the sum of the two angles numerically and algebraically.6x=156x=26n=5xn=5(26)n=130
Complementary angles are angles that add up to 90 degrees. If the smaller angle is x, the larger is 5x, so 6x = 90. X equals 15, and the larger angle measures 75 degrees.