Answer:
1) Is 90° because that's what the little square in the corner means.
2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.
3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.
4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.
5) Is also 90° because the angle across from it (1) looks to be around the same size.
I solved for each in the following order:
1, 5, 4, 3, 2.
I hope this helps. Also please let me know if I got something wrong or if you still need help :)
3x + 40 + x = 180
-40. -40
——————————-
4x. 140
—. ——-
4. 4
x = 35
Answer:
Step-by-step explanation:
Based on the figure given:Angle S is equal to 34 degrees.The triangle is inscribed in a circle, we can assume that the triangle is a right triangle. Thus, the measure of angle U is180 - 90 - 34 = 56 degrees. This is equivalent to the measure of the arc opposite the angle. Therefore, the measure of arc ST is also 56 degrees.