Respuesta :
The required measures of the angles of a triangle are 36°, 72°, and 72°.
What is the triangle?
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Let one angle be x and another angle be y for an isosceles triangle.
Now the ratio of the measures of two angles of an isosceles triangle is 1 to 2,
x / y = 1 / 2
x = 2y
For an isosceles triangle, one pair of adjacent angles are equal,
We suppose there is another angle x adjacent to x.
Now sum of the angle of a triangle,
y + x + x = 180°
y + 2x = 180°
y + 2 (2y) = 180°
y + 4y = 180°
5y = 180°
y = 36°
Now,
x = 2y
x = 2 * 36
x = 72°
Thus, the required measures of the angles of a triangle are 36°, 72°, and 72°
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
