Question

Find the measure of the angle indicated

Answer 1

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...

Answer 2

Answer:

? = 65°

Step-by-step explanation:

180 - 115 = 65°   (115° and 65° are supplementary angles)

180 - 65 - 50 = 65°     (all triangle interior angles total 180°)