We know that
A quadrilateral is inscribed in a circle if and only if the opposite angles are supplementary. ( Inscribed Quadrilateral Theorem)
so
m∠B+m∠D=180°
2x+(3x-5)=180
5x=180+5
5x=185
x=185/5
x=37°
m∠A=x+5-----> 37+5------> 42°
the answer is
m∠A is 42°
The points on the red arc are points A and B
The measure of the red arc is 75 degrees
<h3>How to determine the measure of arc XYZ?</h3>
From the complete question, we have:
Angle DCE = 75 degrees
By vertical angles theorem,
Angle ACB = Angle DCE = 75 degrees
So, we have:
Angle ACB = 75 degrees
The measure of the red arc is the same as the measure of the angle ACB.
So, we have:
Red arc = 75 degrees
Hence, the measure of the red arc is 75 degrees
Read more about arc and chords at:
brainly.com/question/25871159
Line D and C because they are not parallel but distorted or unsymmetrical
Answer:
B) 
Step-by-step explanation:
Hope this helps
