Answer:
The angle at U is 65 degrees
Step-by-step explanation:
1. We know that a straight line is always 180 degrees..
2. We know that the total interior angle of a triangle is always 180 degrees...
With that in mind, we calculate:
First, we find the missing angle at T, (which is found to be 65 degrees), ( solveing for angle at T)
working out:
180= 115+ T
180- 115= 115-115+T
65. = 0 + T
65= T
Now knowing two angles in our triangle, we are now able to calculate the unknown angle ( angle U) using the two angles.
using our knowledge about interior angles of a triangle, we calculate:
180= angle T + anlge U + angle V
180= 65 + U + 50
180= 65+ 50 + U
180= 115 + U
180-115= 115-115 +U
65= 0 + U
65= U
Therefore, angle at U is 65 degrees...
