Answer: 133 degrees
Step-by-step explanation:
The figure shown here is parallel lines with a transversal.
A transversal is a line that passes through 2 lines that are parallel to each other. When a transversal crosses the paralel lines, the angles seen will essentially be duplicates of each other. Let's take angle 2, for instance. We know its measure is 47 degrees. Now look at angle 6. It is the same as angle 2 because the same line is passing through the same type of line, but they're just in different places.
Therefore angle 6 is 47 degrees. Mark it on the angle (see screenshot).
Ok, now that we know angle 6, we have enough information to solve for angle 5 without having to find the measures of all the other angles. As you can see, angle 6 is right next to angle 5. this means that their angle measures must add up to 180, as they form a straight line. *when 2 angle measures add up to 180, or form a straight line, they are supplementary angles
Anyhow, we know that 47+ x= 180.
x+47= 180
x= 180-47
x= 133
Checks:
If angle 5 is 133 degrees, angle 5+ angle 6 has to equal 180.
133+47= 180.
This is how I know angle 5= 133. Also another method to double check is to "eyeball" angle 5 and see if it is obtuse or acute. It is obtuse, so 133 degrees sounds reasonable.
Hope this helps :)) also brainliest would be appreciated :)
