HELP ME PLEASE FINALS REVIEW find the measure of the numbered angle
1 answer:
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In the given triangle we have the following:
A. The sum of the inner angles of a triangle is always equal to 180, that is:
From this, we can solve for the sum of angles 1 and 2 and we get:
Now, we also know that angles 3 and 4 are supplementary angles and therefore their sum is 180 degrees, that is:
Solving for angle 4:
Equating both results we get:
Therefore, it is true that angle 4 is the sum of angles 1 and 2.
B. We have that the sum of angles 2 and 3 is:
If this were equal to angle 4 we would have:
B