Question

2. Two angle measures are in the ratio 5:9. Write
expressions for the two angle measures in terms of
the variable x.
Cz.

Answer 1

The two angles are x and 9x/5

Let the two angles we require be x and y.

Ratio of both angles

We have that the ratio of both angles are x:y

Since both angles are in the ratio 5:9, we have that,

x:y = 5:9

⇒ x/y = 5/9

Value of the other angle

So, we Make y subject of the formula

Multiplying both sides by y, we have

y × x/y = 5/9 × y

x = 5y/9

Multiplying both sides by 9, we have

9 × x = 5y/9 × 9

9x = 5y

Dividing both sides by 5, we have

9x/5 = 5y/5

y = 9x/5

So, the two angles are x and 9x/5

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