Ineed with this proof, the given and prove are at the top. pl

 The proof is mentioned below.

Step-by-step explanation:

Here, Given : m∠AOC = 160°  m∠AOD= (3x-10)° and  m∠ DOC= (x+14)°

Prove: x= 39°

      Statement                                              Reason

1. m∠AOC = 160°, m∠AOD= (3x-10)°    1.  Given

and m∠ DOC= (x+14)°    

2. m∠AOD+m∠DOC=m∠AOC         2. Because OD divides ∠AOC

                                                              into ∠AOD and ∠DOC

3. (3x-10)° +(x+14)°= 160°                     3. By substitution

4.  4x+4 = 160°                                    4. By equating like terms

5. 4x= 156°                                          5. By subtraction property

                                                             of equality

6. x= 39°                                              6. By division property of equality

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this