Question

using algebra solve for x and y. 9.

Explanation:

Step1: Use the property of isosceles triangle

Since the triangle has two equal - length sides (marked with the same tick), it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So \(x = y\).

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So \(x + y+40^{\circ}=180^{\circ}\).
Substitute \(y = x\) into the equation: \(x + x+40^{\circ}=180^{\circ}\).
Combine like terms: \(2x+40^{\circ}=180^{\circ}\).
Subtract \(40^{\circ}\) from both sides: \(2x=180^{\circ}- 40^{\circ}=140^{\circ}\).
Divide both sides by 2: \(x=\frac{140^{\circ}}{2}=70^{\circ}\).
Since \(y = x\), then \(y = 70^{\circ}\).

Answer:

\(x = 70^{\circ}\), \(y = 70^{\circ}\)