Please Show Work. The measure of angles in a triangle are in a ratio of 2:3:4. What are the measures of the angles?

The angle measures are 40°, 60°, and 80°.

Step-by-step explanation:

When we are given this problem, we need to know that

With this ratio, these angles must add up to equal 180°. Therefore, we can set up an equation and add an x-variable to each of the numbers. We then set this equal to 180.

Now, we need to find the measures of the angles. The angles are the parts of the ratio multiplied by the value of x.

So, our three angles measures should be 40°, 60°, and 80°. We can check this by adding up these three values and seeing if the sum equals 180°.

Because this is true, our angle measures are 40°, 60°, and 80°.

step-by-step explanation:

step-by-step explanation:

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