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?
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Answer 1

Since angle A and angle B are complementary angles, their sum is equal to 90°.

We are given:
- Angle A = 36°
- Angle B = 3x°

We can set up the equation:

\[
36° + 3x° = 90°
\]

To find the value of \( x \), we can isolate \( 3x \) in the equation:

\[
3x° = 90° - 36°
\]
\[
3x° = 54°
\]

Now, divide both sides by 3 to solve for \( x \):

\[
x = \frac{54°}{3}
\]
\[
x = 18
\]

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

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

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