What is the missing angle of a triangle if one angle is 20 and the other is x ?

1 answer:

4 0

Just like regular numbers, angles can be added to obtain a sum, perhaps for the purpose of determining the measure of an unknown angle. Sometimes we can determine a missing angle because we know that the sum must be a certain value. Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees.
The angles of this triangle are 50, 60, and 70 degrees.

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Jarvis left out a statement from the proof shown.which statement is best explained by the corresponding angles postulate

Salsk061 [2.6K]

The postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.

Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.

The answer is: ∠1 and ∠3 are congruent (See the image attached).