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.
2 answers:
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.
A+b=180
a=19*b
19b+b=180
20b=180
b=180:20
b=9°
a=19*9=171°
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