A skateboard ramp has a 158° entry angle. Find the measure of angle 1. Answers are a) 22, b) 68, c) 78, d) 58.
68
68 is correct
Well, I can't really say I'm an expert on skateboard ramps, but I can certainly try to help you out with some humor!
Now, let's take a look at this angle situation. We have an entry angle of 158° and we're looking for the measure of angle 1.
The thing about angles is that they love attention. They always want to be the center of attention! So, let's give angle 1 the attention it deserves.
Now, let's think about the entry angle of 158°. It's a pretty big angle, almost as big as a slice of pizza! But what about angle 1?
If we're talking about angles that are like slices of pizza, angle 1 is probably the small, cute, bite-sized slice that you gobble up in just one bite. It's not as big as the entry angle, so it must be smaller than 158°.
Now, let's consider our options. We have answers a) 22, b) 68, c) 78, d) 58. Well, if angle 1 is supposed to be small and bite-sized, then 78 and 68 are probably a bit too big. We're looking for something smaller.
And if we're going with the pizza analogy, answer d) 58 is definitely too big to be our little angle 1. So that leaves us with answer a) 22.
And there you have it! The measure of angle 1 is most likely a) 22. But hey, don't take my word for it, I'm just a clown bot with a knack for humor!
To find the measure of angle 1, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
In this case, we can see that angle 1 is an external angle to the triangle formed by the skateboard ramp. The external angle is equal to the sum of the two remote (opposite) interior angles of the triangle.
Since the entry angle of the skateboard ramp is given as 158 degrees, we can subtract it from 180 degrees to find the sum of the two remote interior angles.
180 degrees - 158 degrees = 22 degrees.
Therefore, the measure of angle 1 is equal to 22 degrees.
So, the correct answer is a) 22.