Question

find the measure of ∠dtu. a. 45° b. 91° c. 135° d. 125°

Explanation:

Step1: Recall circle - angle property

The sum of angles around a point is 360°.

Step2: Identify relevant angles

We know the other angles around point T are 91°, 45°, 70°, 30°, and 124°.

Step3: Calculate ∠DTU

Let ∠DTU = x. Then 91°+45° + 70°+30°+124°+x=360°.
First, sum the known angles: 91 + 45+70 + 30+124=360 - x.
360-(91 + 45+70 + 30+124)=x.
360 - 360= x.
We can also note that if we assume the un - labeled angle between Y and U is ∠DTU.
The angle between Y and U is composed of the 91° angle and the 45° angle.
So ∠DTU=91° + 45°=136°.

Answer:

c. 136°