Question

find the values of x and y.
x =
y =

Explanation:

Step1: Find the base angle of the isosceles triangle

Since the triangle is isosceles (two sides are equal), the base angles are equal. The adjacent angle to \(107^{\circ}\) is \(180 - 107=73^{\circ}\). Let the base angles be \(a\). So \(y = 73^{\circ}\) (vertical - angle property).

Step2: Calculate \(x\)

Using the angle - sum property of a triangle (\(x + 73+73 = 180\)). Then \(x=180-(73 + 73)=180 - 146 = 34\)

Answer:

\(x = 34\), \(y = 73\)