Question

Question 1:
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?

Answer 1

Since angles A and B are complementary, their measurements add up to 90 degrees.

Given:
- Angle A = 36°
- Angle B = 3x°

We can set up the equation as follows:

\[
36 + 3x = 90
\]

Now, we 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, to find the measurement of angle B, we substitute \( x \) back into the expression for angle B:

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

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