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xy using algebra solve for x and y. 8.

Question

xy using algebra solve for x and y.
8.

Explanation:

Step1: Find the value of \( x \)

Since the triangle has two equal sides (marked with the same symbol), it is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. So, \( x = 46\).

Step2: Find the value of \( y \)

The sum of the interior angles of a triangle is \( 180^{\circ}\). Using the formula \(x + 46+y=180\). Substitute \(x = 46\) into the formula: \(46+46 + y=180\). Simplify the left - hand side: \(92+y=180\). Then solve for \(y\) by subtracting 92 from both sides: \(y=180 - 92\).

Answer:

\(x = 46\), \(y = 88\)