Question

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 angle
b.

Answer 1

Answer:

Angle A= 135 degrees

Angle B= 45 degrees

Step-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 =180

x=45

​Therefore, angle B is 45 degrees​, and angle A is three times as large as angle ​B, or 135 degrees.

Answer 2

The value of a is 171 and b is 9.

What is supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees.

According to the given problem,

a = 19b

Therefore,

⇒ 19b + b = 180

⇒ b = 9

now,

⇒ a + 9 = 180

⇒ a = 171

Hence, we can conclude, angle a which measures 171° and b which measures 9

Learn more about supplementary angles here:https://brainly.in/question/5365208

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