Question

what is the value of c?
z 50°
y
x
c = °

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with red ticks), so it's isosceles. Thus, \(\angle Z=\angle Y = 50^\circ\) (base angles of isosceles triangle are equal).

Step2: Sum of angles in triangle

The sum of angles in a triangle is \(180^\circ\). Let \(\angle X = c\). So, \(c + 50^\circ+ 50^\circ=180^\circ\).

Step3: Solve for \(c\)

Simplify: \(c + 100^\circ=180^\circ\). Subtract \(100^\circ\) from both sides: \(c = 180^\circ - 100^\circ = 80^\circ\).

Answer:

\(80\)