Problem 1
<h3>Answer: choice B) They are supplementary angles</h3>
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Explanation:
The two angles combine to form a straight angle (which is 180 degrees). Another term for these angles is "linear pair" since they form a straight line.
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Problem 2
<h3>Answer: choice B) x = 7</h3>
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Explanation:
The diagonal is never used in this problem. For any rhombus, the four exterior sides are always the same length.
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Problem 3
<h3>Answer: Choice D) 62 degrees</h3>
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Explanation:
We use the angle addition postulate. This allows us to combine angles BAC and CAD to form angle BAD.
(angle BAC)+(angle CAD) = angle BAD
30 + x = 92
x = 92-30
x = 62
angle CAD = 62
