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For the given triangle if the measure of angle 1 is

49
49 degrees and the measure of angel 2 is
60
60 degrees determine

measure angle 4

degrees

measure angle 3

degrees

1 answer

To find the measures of angles 3 and 4, we must use the fact that the sum of the angles in a triangle is always 180 degrees.

Angle 1 + Angle 2 + Angle 3 = 180 degrees
49 + 60 + Angle 3 = 180
109 + Angle 3 = 180
Angle 3 = 180 - 109
Angle 3 = 71 degrees

Since angles 3 and 4 are vertical angles, they are congruent.

Angle 4 = Angle 3 = 71 degrees

Therefore, the measure of angle 4 is 71 degrees and the measure of angle 3 is also 71 degrees.
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