The 3 angles need to equal 180
The middle angle is given as 100.
180 -100 = 80
There is an x on each side so you have 2x
2x = 80
X = 80/2
X = 40 degrees
The student subtracted each side by 28, which is wrong because if u want to cancel -28, you need to add 28 to both sides. The correct answer is 403.
I need brainliest answer pls
Use the law of sines. The sine of the given angle divided by its opposite side is equal to the sine of that unknown angle at the top left divided by the other given side (it's too small for me to read the diagram you provided). And remember, once you have two of the angles, start with 180, subtract the two angles that you do have and you will get the third angle.
You'll first need to calculate the measure of angle R. From the diagram we see that
opp 33
tan R = ------- = ----- = 0.589, so, using the inv. tang. function, R = 0.589 rad.
adj 56
opp 33
Then sin R = --------- = sin 0.589 rad = ------------------------- = 0.508 rad
hyp sqrt(33^2 + 56^2)
or 29.089 degrees
