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QUESTION IMAGE

triangle with angle at c being 105 degrees, angle at bottom vertex (let…

Question

triangle with angle at c being 105 degrees, angle at bottom vertex (lets say b) being 45 degrees, vertex at x, need to find related angle or side (context from image).

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(x + 95^\circ+ 45^\circ= 180^\circ\).

Step2: Solve for \(x\)

Simplify the equation: \(x + 140^\circ= 180^\circ\). Subtract \(140^\circ\) from both sides: \(x = 180^\circ - 140^\circ = 40^\circ\).

Answer:

\(x = 40^\circ\)