Which figure must be a rhombus?
2 answers:
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Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is .
Two angles are complements of one another if their sum is .
Let be the measure of the angle in question.
The supplement of this angle would be .
The complement of this angle would be .
According to the question:
.
Solve this equation for :
.
Thus, this angle would measure should .
The supplement of this angle would measure . The complement of this angle would measure
.
Three times the complement of this angle would be , which is indeed
greater than the supplement of this angle.