# How to find the degree of a isosceles triangle

In isosceles triangle RST, angle S is the vertex angle. High school geometry Congruence. The vertex angle B of isosceles triangle ABC is degrees.

But that's not going to change anything either because they're equal to each other.

So the last situation is where this angle down here is x plus 16, and this angle up here is 3x plus 5. This is 3x plus 5. So let's just work through each of these.

#### How Do You Find Missing Angles in an Isosceles Triangle?

So in this situation, if this base angle is 3x plus 5, so is this base angle. And then we know that all three of these are going to have to add up to degrees.

### SOLUTION: find the measure of each base angle of an isosceles triangle if the vertex angle measures 76 degrees

So we get 3x plus 5 plus 3x plus 5 plus x plus 16 is going to be equal to degrees. Let's just add up.

You have 3x plus 3x, which gives you 6x, plus another x gives you 7x. And then you have 5 plus 5, which is 10, plus 16 is equal to And that is going to be equal to And then we have, let's see, minus If we subtract 26 from both sides, we get minus 20 isminus another 6 is You have 7x is equal to And let's see how many times-- if we divide both sides by 7, 7 will go into 20 times, and then you have another So it looks like it's 22 times.

So x is equal to So we have x is equal to 22 degrees in this the first scenario. We can solve for mB by dividing both sides of this equation by 2 and we get: Since the measure of one base angle equals 52 degrees we know that the measure of the other base angle also equals 52 degrees.

So in the given triangle the measures of the three angles are 52 degrees, 52 degrees, and 76 degrees.

### Isosceles Triangles Have Two Equal Sides

The total of these 3 measures is degrees, just as it must be. Hope this helps you to understand the problem and how to solve it. How to calculate the right length of c for the image?

How to Find the Two Missing Angles in an Isosceles Triangle : Math & Geometry TipsGerry Myerson k 6 It would be useful if you could list all the steps you took in order for us to help you spot where you may have gone wrong. BTW there are easier ways than the cosine rule.

## Isosceles Right Triangle

David, I have updated the image to the real measures! Please, share the ways.

I tried it with radians and the result is the espected! Yes, John, you can use the Pythagorean Theorem to obtain the altitude the unknown side in the middle.

The vertex, B, is split into two equal angles. Not currently, but I have taught both at a community college and at a university. The Impressive Growth of R. Mathematics Stack Exchange works best with JavaScript enabled.