Question

Please answer asap!

1. Find the missing angle values. Show work. Complete sentence.



a. Angle a = ______


b. Angle b = ______


c. Angle c = ______


d. Angle d = ______


e. These angles together make a complete rotation/ a circle. What do you get when you add all the angles together. What does this number have to do with a circle?

Answer 1

When you add all the angles together you get 360 degrees because every circle equals 360.

a: 35 degrees

b: 40 degrees

c: 35 degrees

d: 70 degrees

Explanation:

For "d":

To find a we see that 70 degrees is a bisector to "d" meaning that they are equal. Also the angle to the left of the 40 degree angle is equal to the angle to the right of "d". So we would add 40 and "d", which is 70 degrees. And since that whole line of angles creates a straight line, which is 180 degrees we take the sum of 40 and 70 then subtract that to 180 which is 180-110= 70.

Then we divide 70 by 2 because the 2 angles are the same. This makes 35.

So now that we know the angles that are not labeled we can find a,b, and c

For "a":

It is very simple to find "a" since we found that the unlabeled angles are both 35 degree. Angle "a" happens to be a bisector of the 35 degree angle making them equal. This means that "a" is 35 as well.

For "b":

Since "b" is a bisector of the 40 degree angles this makes "b" 40 degrees.

For "c":

Angle "c" is exactly like Angle "a" because of them being being bisectors wiht the unlabeled angles. So "c" is 35 too.