Question

What is the measure of angle 5?

Answer 1

Answer:

∠ 5 = 133°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent and supplementary, thus

∠ 1 = 180° - 47° = 133°

∠ 1 and ∠ 5 are corresponding and congruent, thus

∠ 5 = ∠ 1 = 133°

Answer 2

The measure of angle 5 in the figure is required.

The measure of the angle 5 is $133^{\circ}$

Lines and angles

It is given that $\angle 2=47^{\circ}$ and $m||n$

$\angle 1$ and $\angle 2$ are a supplementary pair. So, they add to $180^{\circ}$

$\angle 1+\angle 2=180^{\circ}\\\Rightarrow \angle 1=180^{\circ}-\angle 2\\\Rightarrow \angle 1=180^{\circ}-47^{\circ}\\\Rightarrow \angle 1=133^{\circ}$

Now, $\angle 1=\angle 5$ since they are corresponding angles as $m||n$ and a transversal is passing through them.

So, $\angle 5=133^{\circ}$

Learn more about lines and angles:

https://brainly.com/question/24607467