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

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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