Q. 94.7( 14 Votes )

Two adjacent angles on a straight line are in the ratio 5:4 Find the measure of each one of these angles.

Answer :

100°, 80°


Explanation:



EOF is a straight line and its adjacent angles are EOB and FOB.


Let EOB = 5a, and FOB = 4a


EOB + FOB = 180° (EOF is a straight line)


5a + 4a = 180°


9a = 180°


a = 20°


Therefore, EOB = 5a


= 5 × 20° = 100°


And FOB = 4a


= 4 × 20° = 80°


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