The measure of a third angle in an isosceles triangle is 82.5 more than the measure of the two equal angles. whats the angle of the third.

Question

The measure of a third angle in an isosceles triangle is 82.5 more than the measure of the two equal angles. whats the angle of the third.

Answer 1

Let A be one of the two equal angles, abd B be the apex angle.

2A + B = 180
A - B = 82.5
3A = 262.5
A = 87.5
B = 5 degrees is the "third angle"

Answer 2

Well, in an isosceles triangle, since two angles are equal, let's call them "x". According to the given information, the third angle is 82.5 more than the measure of the two equal angles.

So, the third angle can be represented as "x + 82.5".

Answer 3

Let's start by assigning a variable to represent the measure of the two equal angles in the isosceles triangle. let's call it "x".

According to the given information, the measure of the third angle is 82.5 more than the measure of the two equal angles.

The equation representing this is: 2x + 82.5 = measure of the third angle.

To find the measure of the third angle, we can solve this equation.

Subtracting 82.5 from both sides of the equation, we have:

2x = measure of the third angle - 82.5.

Dividing both sides by 2 gives us:

x = (measure of the third angle - 82.5) / 2.

So, the measure of the third angle is:

measure of the third angle = 2x + 82.5.

Substituting x back into the equation:

measure of the third angle = 2 * x + 82.5.

Therefore, the measure of the third angle in the isosceles triangle is 2 times the measure of the equal angles, plus 82.5.

Answer 4

To find the measure of the third angle in an isosceles triangle, we need to know the measure of one of the equal angles. Let's assume the measure of each equal angle is "x".

According to the given information, the measure of the third angle is 82.5 more than the measure of the two equal angles.

So, we can write the equation:

Third angle = 2 * equal angle + 82.5

Substituting the value of "x" into the equation, we get:

Third angle = 2x + 82.5

Since we know the measure of the third angle is 82.5 more than the measure of the two equal angles, we can set up another equation:

Third angle = 2 * equal angle + 82.5 = 180 - equal angle

Now we can solve for "x" by equating the two expressions for the third angle:

2x + 82.5 = 180 - x

Simplifying the equation:

3x = 97.5

Finally, dividing both sides of the equation by 3:

x = 32.5

Now that we know the value of "x," we can substitute it back into the equation to find the third angle:

Third angle = 2 * 32.5 + 82.5 = 97.5 + 82.5 = 180

Therefore, the measure of the third angle in the isosceles triangle is 97.5 degrees.