Two adjacent angles on a straight line are in the ratio 5:4 . Find the measures if each of these angles.
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Given, the ratio of two adjacent angles on a straight line = 5 : 4
So, one angle = 5x and the other angle = 4x
We know that, two adjacent angles on a straight line always forms a linear pair.
⇒5x + 4 x = 180°
⇒9x = 180°
⇒ x = 20°
Therefore, one angle = 5x = 5 × 20° = 100°
and other angle = 4x = 4 × 20° = 80°
Given, the ratio of two adjacent angles on a straight line = 5 : 4
So, one angle = 5x and the other angle = 4x
We know that, two adjacent angles on a straight line always forms a linear pair.
⇒5x + 4 x = 180°
⇒9x = 180°
⇒ x = 20°
Therefore, one angle = 5x = 5 × 20° = 100°
and other angle = 4x = 4 × 20° = 80°
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Answer:
Angles measure 100° and 80°.
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