Question

what is the value of s?
work it out
not feeling ready yet? these can help:
triangle angle - sum theorem (68)
classify triangles (100)

Explanation:

Step1: Identify the triangle type

The triangle \( \triangle FGE\) has two equal - length sides (marked with the same tick), so it is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. Let \( \angle E=\angle G = s\).

Step2: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(34^{\circ}+s + s=180^{\circ}\).
Simplify the equation: \(34^{\circ}+2s = 180^{\circ}\).
Subtract \(34^{\circ}\) from both sides: \(2s=180^{\circ}- 34^{\circ}=146^{\circ}\).
Divide both sides by 2: \(s=\frac{146^{\circ}}{2}=73^{\circ}\).

Answer:

\(73\)