I need help with this proof, the given and prove are at the top. Plzzzz help

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Answer: 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

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