Lamar explains it correctly. Then the angle ∠5 is equal to the sum of angles ∠1 and ∠2.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3.
A triangle with angles 1, 2, 3. The exterior angle to angle 1 is 4, to 2 is 5, to 3 is 6.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
∠2 + ∠5 = 180° ...1
Triangle - The sum of the angle of the triangle is 180 degrees.
∠1 + ∠2 + ∠3 = 180° ...2
From equations 1 and 2, we have
∠2 + ∠5 = ∠1 + ∠2 + ∠3
∠5 = ∠1 + ∠3
Thus, angle ∠5 is equal to the sum of angles ∠1 and ∠2.
More about the angled link is given below.
brainly.com/question/15767203
