Question

for this isosceles triangle, find the measure of angles x and y. angle x = \\(\square\\)° and angle y = \\(\square\\)°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Identify isosceles angles

In an isosceles triangle, the two base angles (x and y here) are equal, so \(x = y\).

Step3: Calculate base angles

Let \(x = y = a\). Then \(62^\circ + a + a = 180^\circ\). Simplify: \(62^\circ + 2a = 180^\circ\). Subtract \(62^\circ\): \(2a = 180^\circ - 62^\circ = 118^\circ\). Divide by 2: \(a = \frac{118^\circ}{2} = 59^\circ\). So \(x = 59^\circ\), \(y = 59^\circ\).

Answer:

angle x = \(\boldsymbol{59}\)° and angle y = \(\boldsymbol{59}\)°