Angle A and angle B are complimentary angles

Question

* The measurement of angle A is 36 degrees.
* The measurement of angle B is 3x degrees.
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 sum is 90 degrees. Therefore, we can write the equation:

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

Substituting the values we have:

\[ 36 + 3x = 90 \]

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:

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

Thus, the measurement of angle B is 54 degrees.