If angle a and angle b are supplementary angles and angle a is nineteen times as large as angle ​b, find the measures of angle a and angleb.

Answer:Angle A= 135 degreesAngle B= 45 degreesStep-by-step explanation:If x equals the measure of angle ​B, then  3x equals the measure of angle A.Since these angles are​ supplementary, the sum of the angles is  180 degrees.Solve for x.x+3x  =180 4x =180x=45​Therefore, angle B is 45 degrees​, and angle A is three times as large as angle ​B, or 135 degrees.