Jamie says that if she knows only the measure of one angle in an isosceles triangle, she can always determine the measures of the other two angles. Denise disagrees with her.
Whos correct jamie or denise? Explain why.
they are both right. Which answer you use depends on which angle you know. The posting did not specify that.
Jamie is in fact correct. No matter which angle she knows, she can always find the other angles.
Since the two base angles are equal, if one of them equals x, then
one other is x, and the 3rd is (180-2x)/2
If x is the vertex angle, then the two base angles are each (180-x)/2
but whos right tho
To determine who is correct, let's first understand the properties of an isosceles triangle.
An isosceles triangle is a triangle that has two sides of equal length. In such a triangle, the base angles, which are the angles opposite to the equal sides, are always congruent (or equal in measure).
Now, Jamie claims that if she knows the measure of one angle in an isosceles triangle, she can always determine the measures of the other two angles.
Jamie is correct. Here's why:
- If you know the measure of one of the base angles, you automatically know the measure of the other base angle because they are congruent in an isosceles triangle.
- You can then determine the measure of the third angle (opposite the unequal side) by subtracting twice the measure of one of the base angles from 180 degrees. This is because the sum of angles in a triangle is always 180 degrees.
So, regardless of the measure of the known angle, you can always determine the measures of the other two angles in an isosceles triangle. Therefore, Jamie is correct.