If angle 1= 135, what is the measure of angle 2, and give your reason

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:

its an acute right triangle

step-by-step explanation:

just sum

10 + 10 = 20