What is the value of x find ∠ aec. in the diagram? ()

a. 100
b. 60
c. 50
d. 120

Using the diagram, we can see that there are three arcs, two with given values (200 and 60) and one with the value of x. Because we know that the arc angles must add up to 360, we can use a simple equation, x = 360 - 200 - 60, which is 100. But there is actually a simpler way to do this. See, the angle of  BCD, is 50 degrees, and what you should have learned in your class is that the angle of the arc will be double that of the angle. So x is 100.

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle