Question

Janelle is building a wooden playhouse, and she needs to cut a board such that it forms angles A and B , where the measure of angle A is 13 of the measure of angle B , and angles A and B are supplementary. What is the measure of angle B ?

Answer 1

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:

$A + B = 180$

• The measure of angle A is 1/3 of the measure of angle B, thus:

$A = \frac{B}{3}$

Replacing in the equation for the sum:

$A + B = 180$

$\frac{B}{3} + B = 180$

$B + 3B = 540$

$4B = 540$

$B = \frac{540}{4}$

$B = 135$

The measure of angle B is of 135º.

A similar problem is given at brainly.com/question/22826236