SOLUTION: The measures of two adjacent angles of a parallelogram are in the ratio 5:4. What is the measure of an obtuse angle of the parallelogram?
A. 20◦ B. 80◦ C. 100◦
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Question 286363: The measures of two adjacent angles of a parallelogram are in the ratio 5:4. What is the measure of an obtuse angle of the parallelogram?
A. 20◦ B. 80◦ C. 100◦ D. 160◦ E. None of these.
Answer by mestrydilip(13) (Show Source): You can put this solution on YOUR website!
Let the common factor be x.
5x + 4x = 180 (Adjacent angles of a parallelogram are supplementary )
9x = 180
x=20
5x = 5*20=100
Obtuse angle measure = 100.
Hence answer is C
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