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8. 2 geometry student journal

Question

8.
2 geometry
student journal

Explanation:

Step1: Use the property of congruent triangles (SAS).

Since the two triangles are congruent (by SAS - Side - Angle - Side, as two sides and the included angle are equal), we can set up equations for \(x\) and \(y\).
For the angles: \(x = 40\) (corresponding angles of congruent triangles).

Step2: Solve for \(y\) using the side - length equation.

Set \(2y + 10=x + 70\). Substitute \(x = 40\) into the equation:

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Answer:

\(x = 40\), \(y = 50\)