Answer:
The measure of m∠2 is:
Step-by-step explanation:
A straight angle is an angle equal to 180 degrees. It is called straight because it appears as a straight line.
Given
The angle ∠ 1 = 135°.
It is clear that angles ∠ 1 and ∠ 2 lie on a straight line.
We know that a straight line is basically a straight angle i.e. 180°.
Thus,
The sum of angles ∠ 1 and ∠ 2 will be 180°.
i.e.
m∠1 + m∠2 = 180°
substitute m∠1 = 135° in the equation
135° + m∠2 = 180°
subtract 135° from both sides
135° + m∠2 - 135° = 180° - 135°
m∠2 = 45°
Therefore, the measure of m∠2 is:
