Given: mORP = 80° mORN = (3x + 10) ° Prove: x = 30 Which statement could be used in step 2 when proving x = 30?

In the given problem, we are asked to solve and prove that x is equal to 30°. Hence, we need to take note that we are also given with two pairs of angles namely ∠ORP and ∠ORN. These two pairs of angles are a linear pair which means that the total or summation is always equal to 180°. Thus, to complete this answer, we have the solving below:

∠ORP + ∠ORN = 180°, substitute with values such as:

80° + (3x + 10) ° = 180, remove parenthesis and perform addition and subtraction of the same term such as:

80 + 3x + 10 = 180

90 + 3x = 180, transpose 90° to the right side and perform subtraction

3x = 180 - 90

3x = 90, divide both sides by 3 such as:

3x / 3 = 90/3

x = 30°

Therefore, the value of x is 30°.