Question

Did I do my math right on this one

Answer 1

You made some mistakes so your answers are wrong. I will explain the right way to get the answer.

First of all, do you notice the square indicating that the angle is 90 degrees? Well, the angle to the left of it is also 90 degrees since the two lines that made those angles are perpendicular to each other. Keep this in mind. On top of that, a triangle's angles always make a total of 180 degrees. Using this information, we add up 43 and 90 degrees to get 133. We then subtract 133 from 180 to get 47, the value of y.

Now that we have solved for y, we can use that value to solve for x. Start by adding 47 and 67 to get 114 degrees. Next, add 114 and 43 to get 157 degrees. Subtract 157 from 180 to get 23 degrees, the value for x.

I hope this helps and that you understand the process.

Edit: An equation you can write can be (114 + 43) + 23 = 180.

Answer 2

Not quite, y=47 and x=23

Explanation:

(For finding y) You'll use the smaller triangle. A triangle is 180 degrees. And since both separate triangles are right triangles (meaning one of the angle's will be 90 degrees) you would use that. For example, to find y you would use this equation (180- (43+90)= y). It would then give you 180-133= y. Thus, y=47.

For finding x, you would do the same, since the the triangle is also a right triangle. (180- (67+90)= x). It would then be 180-157= x. Thus, x=23.

And if you add all sides as one triangle, it would also give you 180. (43+ (47+67) + 23= 180) or (43+114+23=180)