Question

5 The ratio of the angles of a triangle is 1: 2: 3. What is the size of the smallest angle?

6 A metre ruler is broken into two parts in the ratio 16:9. How long is each part?
7
A motorbike uses a petrol and oil mixture in the ratio 17 : 3.
a
How much of each is there in 25 litres of mixture?
b How much petrol would be mixed with 250 ml of oil?
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Answer 1

The smallest angle in a triangle with a ratio of 1:2:3 can be found by setting up an equation and solving for x.

Step-by-step explanation:

The ratio of the angles in a triangle is 1:2:3. Let's represent the angles as x, 2x, and 3x. The sum of the angles in a triangle is 180 degrees, so we can set up the equation: x + 2x + 3x = 180. Simplifying the equation, we get 6x = 180. Dividing both sides by 6, we find x = 30. Therefore, the smallest angle is 30 degrees.

Learn more about Triangle angles