Questions: Segments and Angles
Introduction to angle addition
In the figure below, m angle 1=24° and m angle 2=49°.
Find m angle WXZ.
m angle WXZ=
Transcript text: Segments and Angles
Introduction to angle addition
In the figure below, $m \angle 1=24^{\circ}$ and $m \angle 2=49^{\circ}$.
Find $m \angle W X Z$.
$\square$
\[
m \angle W X Z=
\]
Solution
Solution Steps
Step 1: Analyze the given information
We are given that $m\angle 1 = 24^{\circ}$ and $m\angle 2 = 49^{\circ}$. We are asked to find $m\angle WXZ$.
Step 2: Relate the angles
From the figure, we can see that $\angle WXZ$ is the sum of $\angle 1$ and $\angle 2$. Therefore, we can write the equation:
$m\angle WXZ = m\angle 1 + m\angle 2$
Step 3: Substitute and solve
Substitute the given values of $m\angle 1$ and $m\angle 2$ into the equation: