74
15°
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
925
go off
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.
15°
150o
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
15 and 75
The angles are: 150+30 = 180 degrees
Supplement angles add up to one hundred eighty degrees, so the supplement of an eighty five degree angle would be a ninety five degree angle.
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.
The supplement of an angle is (180) minus (the angle).Here we have an angle 'A', and we are told that: 2( 180 - A ) = 30 + 5( 180 - A ). We calculate:360 - 2A = 30 + 900 - 5A = 930 - 5A (clear parentheses)3A = 570 (Add 5A - 360 to both sides)A = 190 (Divide both sides by 3)Check:Its supplement is (180 - 190) = -102(-10) (?=?) 30 + 5(-10)-20 (?=?) 30 - 50-20 = -20 Yes !
Suppose the angle is x degrees. Then its supplement is 180-x. One-third its supplement is (180-x)/3 = 60-x/3 so x/2 = 60-x/3+25 5x/6 = 85 ie x = 102.