Triangle abc is shown below: triangle abc. line passes through points d, b, and e given: δabc prove: all three angles of δabc add up to 180°. the flowchart with missing reason proves the measures of the interior angles of δabc total 180°: top path, by construction, line segment de is parallel to line segment ac. by alternate interior angles, angle ebc is congruent to angle bca. by substitution, the sum of the measures of angles bca, cba, and bac equals 180 degrees. next path, by construction, line segment de is parallel to line segment ac. by alternate interior angles, angle dba is congruent to angle bac. by substitution, the sum of the measures of angles bca, bca, and bac equals 180 degrees. next path, by construction, line segment de is parallel to line segment ac. by definition of a straight angle, the measure of angle ebd equals 180 degrees. by substitution, the sum of the measures of angles ebc, cba, and dba equals 180 degrees. botto

Please find and open the attachment. We need to prove that all angles of a triangle, add upto . For this we will have to take the help of the diagram in the attachment.

We construct a straight line DE passing through B and parallel to the base AC of the triangle.

Now, we know that the measure of the angle of a straight line is . So, .

Now, we know that since , then by the concept of "Alternate Interior Angles", and .

If we now take the information of the above two paragraphs we come to the conclusion that we can substitute for and likewise, we can substitute for .

Thus, will become

thus proving that the interior angles of a triangle add up to a sum of because the angles , and are the interior angles of the .

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step-by-step explanation:

answer: it actually depends on which is the independent variable and which is the dependent variable. let us say we're looking at a linear equation. y=2x+3. we theoretically could switch the equation to be x=(y-3)/2 and it would be the same line. so either a causes b or it can be that b causes a. so technically the answer is false

step-by-step explanation: