Question

xy using algebra solve for x and y. 10.

Explanation:

Step1: Identify the triangle type

The triangle has two equal - length sides (marked with the same tick), so it is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. So, \(x = 63\).

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the angles of the triangle be \(x\), \(y\), and \(63\). Then \(x + y+63=180\). Since \(x = 63\), we substitute \(x\) into the equation: \(63 + y+63=180\).
Simplify the left - hand side: \(y + 126=180\).
Subtract 126 from both sides: \(y=180 - 126\).

Answer:

\(x = 63\), \(y = 54\)