Question

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

Answer 1

Answer:

The two angles are 100° and 80° respectively.

Step-by-step explanation:

Let us take the 2 angles to be 5x and 4x respectively, as they are in a ratio of 5 : 4.

2 adjacent angles on a straight line are supplementary, i.e, add up to 180°.

So,

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5x + 4x = 180°

⇒ 9x = 180°

⇒ x = 180/9

⇒ x = 20°

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5x = 5 * 20

⇒ 5x = 100°

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4x = 4 * 20 = 80°

⇒ 4x = 80°

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Hope it helps!

Answer 2

Answer:

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