Question

Answer with a proper explanation

Answer 1

90°

Explanation:

1) There are 1080° in an octagon and there are eight sides, meaning that we have to divide. The equation would be: 1080÷8= 135. So each angle on the edge of the octagon is equal to 135°. An example for better understanding would be that angles like RST, TUV, VWP and PQR are each 135° Now we know that the measurements of the angles PQR and RST (They are the main angles we look at in this question)

2) We now have to find the angle SRT. Meaning that we now have to look at the triangle RST. We already know that the angle S is equal to 135° and the angles R and T are equal to each other. (You can even see with the RT line/angle connecting R and T) So now we have to complete the equation: 180-135= 45. (We have to subtract 135 from 180 because the angles we are supposed to be calculating are not reflex angles nor they exceed 180°) This means the angles R and T (because they equal the same) equal 22.5°

3) Now we have to just subtract everything. The equation would be: 135-22.5-22.5= 90° The answer would be 90° because we have to subtract the angle R and T (which are both 22.5°) from angle S (which is 135°) which would equal our answer 90°.

Answer 2

There are 1080 degrees in an octagon. So each angle is 135 degrees because 1080/8=135.
So with that, you now know the measurement of angle PQR and RST (135).

Now you need to find the angle SRT. To do this look at triangle RST. We know the angle S is 135 and angles R and T are equal to each other. So 180-135=45. So the angle of R and T are 22.5*.

So 135-22.5-22.5= 90*

Your answer would be 90 degrees.