Answer:
Answer 60
Step-by-step explanation:
The distance from an exterior point to the incircle is equal to the tangent length in both cases.
So the 19 is made up of 9 and 10.
The length of the other portion of the tangent from the end of 19 to the tangent point on the right is also 10.
By a similar argument the lower length of the line to the tangent point is 11.
So you have
9 + 9 + 10 + 10 + 11 + 11
18 + 20 + 22 = 60.
You can see that angle TQV = 90 degrees
Angle RQV = 136 degrees
Angles RQV and UQV are supplementary and equal 180 degrees since they form a straight line. Therefore angle UQV = 180 - 136 = 44 degrees.
TQU + UQV = 90 degrees. Therefore, TQU = 90 - UQV.
90 - 44 = 46 degrees for angle TQU.
Answer:
Step-by-step explanation:
22