Question

Given: m ZORP = 80° Which statement could be used in step 2 when proving x = 30? MZORN = (3x + 10) Prove: x = 30 Statements 1. mZORP - 80°, mZORN - (3x+10) 2. 3. 4. 5. Reasons 1. given 2. 3 4 5. M GA CON N R O ZORP and ZORN are a linear pair US 80° (3x + 10)° P O ZORP and ZORN are vertical angles O 80 = 3x +10 !! O x = 30​

Answer 1

Statement B could be used in step 2 when proving x = 30. ORP and ORN are linear pairs. Option B is correct.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

The complete question is;

Given: mORP = 80°

mORN = (3x + 10)°

Prove: x = 30

Which statement could be used in step 2 when proving x = 30?

A. ORP and ORN are a linear pair

B. ORP and ORN are vertical angles

C. 80 = 3x +10

D. x = 30

A linear pair is a pair of neighboring angles created by the intersection of two lines. A linear pair's two angles are always complimentary, which implies their measurements sum to 180°.

It is obtained that ORP and ORN are a linear pair;

∠ORP+ ∠ORN = 180°

$\rm 80^0+ (3x + 10)^0=180^0\\\\ 3x=180^0-90^0\\\\ x=\frac{90^0}{3}\\\\ x=30^0$

The value of x will be 30°. Statement B could be used in step 2 when proving x = 30. ORP and ORN are linear pairs.

Hence, Option B is correct.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

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