Question

Z1 and 22 are complementary.
m/11円。
m.22 = (3z +30)°
What is the value of x?
Select from the drop-down menu to correctly answer the question.
メ＝
Choose... v

Answer 1

To solve for \( z \) using the information given that \( z1 \) and \( 22 \) are complementary, we need to understand that complementary angles sum up to \( 90^\circ \).

Given that \( m.22 = (3z + 30)^\circ \) and writing the equation for complementary angles:

\[
z + (3z + 30) = 90
\]

Now combine like terms:

\[
z + 3z + 30 = 90
\]
\[
4z + 30 = 90
\]

Next, we will isolate \( z \):

Subtract \( 30 \) from both sides:

\[
4z = 90 - 30
\]
\[
4z = 60
\]

Now divide by \( 4 \):

\[
z = \frac{60}{4} = 15
\]

So, the value of \( z \) is \( 15^\circ \).

If you need to select this from a drop-down menu, you would choose **15**.