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2. $mangle2 = x + 77$

Question

  1. $mangle2 = x + 77$

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides equal), so $\angle2 = 65^{\circ}$.

Step2: Solve for $x$

Set up the equation $x + 77=65$.
Subtract 77 from both sides: $x=65 - 77$.
$x=- 12$.

Answer:

$x = - 12$