If a triangle has two angles that measure 45 and 90 degrees, what is the measure of the third angle
2 answers:
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Answer: OPTION D.
Step-by-step explanation:
First, it is important to know the definition of "Chord" and "Arcs" in circles.
A Chord is defined as a segment that joins any two points of a circle.
An Arc is defined as portion of the circumference of a circle.
By definition:
1) If two chords of a circle are congruent (which means that they have equal measure), then their intercepted Arcs are also congruent.
2) If the Arcs are congruent, then they have congruent chords.
In this case, you know that the <em>Arc GH</em> and the <em>Arc JK</em> are congruent. Therefore, you can conclude that the <em>Chord GH</em> and the <em>Chord JK</em> are also congruent.
Then, knowing that:
You can determine that: