Question

Angle A and angle B are complimentary angles. The measurement of angle A is 36°. The measurement of angle B is 3x°. Write and solve an equation that represents the value of x. What is the measurement of angle B? г

Answer 1

Since angles A and B are complementary, their measures add up to 90°. Given that angle A measures 36°, we can set up the equation as follows:

\[
\text{Angle A} + \text{Angle B} = 90°
\]

Substituting the known values:

\[
36° + 3x° = 90°
\]

Now, we will solve for \( x \):

1. Subtract 36° from both sides:
\[
3x° = 90° - 36°
\]
\[
3x° = 54°
\]

2. Divide both sides by 3:
\[
x = \frac{54°}{3}
\]
\[
x = 18
\]

Now that we have the value of \( x \), we can find the measurement of angle B:

\[
\text{Angle B} = 3x = 3(18°) = 54°
\]

So, the measurement of angle B is \( 54° \).