Answer :
Using the concept of supplementary angles, it is found that the measure of angle B is of 135º.
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- If two angles are supplementary, the sum of their measures is of 180º.
- A and B are supplementary, thus:
[tex]A + B = 180[/tex]
- The measure of angle A is 1/3 of the measure of angle B, thus:
[tex]A = \frac{B}{3}[/tex]
Replacing in the equation for the sum:
[tex]A + B = 180[/tex]
[tex]\frac{B}{3} + B = 180[/tex]
[tex]B + 3B = 540[/tex]
[tex]4B = 540[/tex]
[tex]B = \frac{540}{4}[/tex]
[tex]B = 135[/tex]
The measure of angle B is of 135º.
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