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
Since the starting and original place is a 4 x 3 rectangle, and the new position already has a side length of 3. We are now going to look for the two points that make a second side of 4. So, the points C(1, -5) and D(4, -5) satisfy the requirements.
Answer:
x = - 1 ± i 
Step-by-step explanation:
Given
3x² = - 12 - 6x ( add 6x to both sides )
3x² + 6x = - 12 ( divide through by 3 )
x² + 2x = - 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 4 + 1
(x + 1)² = - 3 ( take the square root of both sides )
x + 1 = ± 
= ± i ( subtract 1 from both sides )
x = - 1 ± i
