what are the values of x and y?
what are the values of x and y?
Answer
Explanation:
Step1: Identify the triangle type
Since two sides of the triangle are equal (marked with red ticks), it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So, (y = 72^{\circ}).
Step2: Use the angle - sum property of a triangle
The sum of angles in a triangle is (180^{\circ}). Let (x) be the third angle. Then (x + y+72^{\circ}=180^{\circ}). Substitute (y = 72^{\circ}) into the equation: (x+72^{\circ}+72^{\circ}=180^{\circ}). [x=180^{\circ}-(72^{\circ}+72^{\circ})] [x = 180^{\circ}-144^{\circ}] [x = 36^{\circ}]
Answer:
(x = 36), (y = 72)