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Ber [7]
3 years ago
11

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.
Mathematics
2 answers:
Kay [80]3 years ago
8 0

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.

tiny-mole [99]3 years ago
7 0
A+b=180
a=19*b

19b+b=180
20b=180
b=180:20
b=9°
a=19*9=171°
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