One angle of a triangle measures 95°. The other two angles are in a ratio of 7:10. What are the measures of those two angles?

To find the measures of the other two angles, we can set up an equation using the given ratio.

Let's assume the two angles are 7x and 10x, where x is a common factor. Since angles in a triangle add up to 180 degrees, we can write the equation as:

95 + 7x + 10x = 180

Simplifying the equation:

95 + 17x = 180

Subtracting 95 from both sides:

17x = 180 - 95

17x = 85

Now, we can solve for x by dividing both sides by 17:

x = 85 / 17

x = 5

Therefore, the measure of the smaller angle is:

7x = 7 * 5 = 35 degrees

And the measure of the larger angle is:

10x = 10 * 5 = 50 degrees

So, the measures of the other two angles are 35 degrees and 50 degrees, respectively.

let the other angles be 7x and 10x

so : 7x + 10x + 95 = 180

solve for x, and sub into my definitions