Question

The ratio of the measurement of an angle to its complement is 1:2. Find the measurement of the angle and its complement.

Answer 1

Answer: 30 and 60

Step-by-step explanation: When the ratio of two angles is 1:2, we can represent the angles as X and 2x.

X → angle

2x → complement

If we know that an angle and its complement add up to 90°, we can set up an equation to represent this.

X + 2x = 90

We can simplify on the left side of the equation.

3x = 90

÷3    ÷3   ← divide both sides by 3

X = 30

Now to find the measure of each angle, we plug in 30 for x.

X → angle = 30°

2x → complement = 60°

Therefore, the measure of the angle is 30° and its complement is 60°.

Answer 2

We know that these two angles are in the ratio 1:2 and add to 90 because they are complementary

So we can write the equation

x+2x=90
3x=90
x=30

So the first angle measure is 30

Since they are in the ratio 1:2, the second angle is twice 30 so 60

Hope this helps