Question

What is the measure of 8?

120°
90°
60°
180°
_____________________________


What type of angles are 1 and 5?



vertical
supplementary
corresponding
complementary

Answer 1

Answer:

< 8 = 60

<1 and <5 are corresponding angles

Step-by-step explanation:

<2 = <3  vertical angles

<3 = <6  alternate interior angles

<6 + <8 = 180  supplementary angles

120 + <8 = 180

Subtract 120 from side

120-120 + <8 = 180-120

< 8 = 60

<1 and <5 are corresponding angles

Corresponding angles occupy the same relative position at each intersection.

Answer 2

Answer:

The measure of $\angle 8$ is 60°

$\angle 1$ and $\angle 5$ are corresponding angles.

Step-by-step explanation:

Given that, $m\angle 2= 120\°$

In the given diagram, $\angle 2$ and $\angle 6$ are corresponding angles and their measures are same.

So, $m\angle 6= 120\°$

Now, $\angle 6$ and $\angle 8$ are pair of linear angles.

That means......

$m\angle 6+m\angle 8= 180$°

$\Rightarrow 120\°+m\angle 8=180\°\\ \\ \Rightarrow m\angle 8= 180\°-120\°\\ \\ \Rightarrow m\angle 8=60\°$

So, the measure of $\angle 8$ is 60°

The type of angles for $\angle 1$ and $\angle 5$ is corresponding.