Question

Question

Answer 1

• Angle 1 is equal to 107° by the Corresponding Angles Theorem.
• We do not have any angle-line relationships for angle 2. However, we know that line a and b are parallel lines giving the picture. If we look at line a, we know that it is a line, so its interior angle measure is 180° by definition of a straight line.
• So, we know that angle 1 = 107°, and we know that angle 2 must add to 107° to sum up to the angle measure of line a of 180°.
• We can call angle 2 “x” because it is unknown.
•We can create the following equation to solve for the measure of angle 2:
1.) 107+x=180
2.) 107-107+x=180-107
3.) X=73.

Therefore, the angle measures of angle 2 = 73° because 107+73 = 180.

Answer 2

Answer:

m∠1 = 107 degrees

m∠2 = 73 degrees

Step-by-step explanation:

1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.

2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.

• $180-107$
• $73$

Therefore, m∠2 = 73 degrees.