Question

Find the measure of each angle

Answer 1

Hey, there, @foreverangel! We pardon the delay in answering your question! We look forward to see you back again soon. (:

Anyways, here's an explanation that might help.

There are some things that you should know about how to find the measure of an angle. Normally two rays have the same endpoint which helps create the angle, and the point in where they intersect is called a vertex. So therefore, the angle forms part of an imaginary circle. And, since circles measure 360 degrees, you can find the angle measurement formed by the rays.

Straight angles will have 180 degrees.
Acute angles will have less than 90 degrees.
Right angle will have 90 degrees.
Obtuse angle will have more than 90 degrees but not passed 180 degrees.

Squares and rectangles have four right angles. To add up the angles, you get 90 + 90 + 90 + 90 = 360. A quadrilateral also has four angles. Therefore, no matter what shape you are examining, the angles add up to 360 degrees.

To determine the missing angle of a quadrilateral, you can use the following equation here:

angle A + angle B + angle C + angle D = 360-degrees.

Answer 2

The above method only works if you know information about the angles already. Since we have none of the three angles, we need to use law of cosines.

c^2 = a^2 + b^2 -2abcos(C)

Pick one side to be your c side. The other two sides will thus be a and b. The angle across from the c side is C.

Solve for C. Repeat with one other angle of the triangle.

Finally, once you have two angles , you c an simply subtract 180 - the two other angles to get the third

Answer 3

I am really confused