Posted by **DANIELLE** on Monday, February 12, 2007 at 12:39am.

If x and 3x-10 represent the measure of the acute angles of a right tringle find the value of x.

THANKS

Let's take it step by step.

A triangle has 3 angles in it. Those three angles, when added together, is 180.

In a right triangle, one of the angles is 90 degrees. The other two angles are "acute angles." Acute angle just means it's so small, it's a cute angle. Ok...not what it means, but it might help you remember it a little better. An acute angle is an angle that is less than 90 degrees.

So we know the sum of all the angles is 180. We know one angle is 90 degrees. So also have the other two angles, at least an equation for them.

So if we add ALL 3 angles together, we will get 180. So....

90 (the right angle) + x (the 1st acute angle) + 3x-10 (the 2nd acute angle) = 180.

90 + x + 3x-10 = 180

Can you figure out "x" from there?

Matt

## Answer This Question

## Related Questions

- Math - True or false and if false write a true statement 1. A right triangle has...
- geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...
- geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...
- Math - Write whether the statement is true or false. If false write a true ...
- construct a triangle - How can I construct a triangle ABC with vertices A(-4,2...
- Goemetry - The two acute angles in a right triangle measure (2x + 7)° and (3x - ...
- Geometry - If the measures of the exterior angles of the acute angles of a right...
- Math - in a 6 side polygon, the first two angles are equal. , the third angle is...
- vertex angle - The three angles add to 180 degrees. Also , the two base angles ...
- Geometry - A right triangle has exterior angles at each of its acute angles ...

More Related Questions