An obtuse isosceles triangle has one angle with a measure of (2x) degrees and another angle (5x) degress.
What is the measure of the third angle of the triangle?
since the vertex angle is obtuse, it is the largest angle. So, the two smaller angles are both 2x.
To find the measure of the third angle of the obtuse isosceles triangle, we can use the fact that the sum of the angles in any triangle is always 180 degrees.
Let's denote the measure of the third angle as "y" degrees.
Since the triangle is isosceles, it has two equal angles. Let's set up an equation based on the given information:
(2x) + (5x) + y = 180
Now let's solve for y:
2x + 5x + y = 180
7x + y = 180
y = 180 - 7x
Therefore, the measure of the third angle of the obtuse isosceles triangle is (180 - 7x) degrees.