Properties of Geometrical Figures, SM-Bank 016

The diagram below shows an isosceles triangle.

Determine the value of \(x^{\circ}\), giving reasons for your answer. (2 marks)

--- 3 WORK AREA LINES (style=lined) ---

Show Answers Only

\(110^{\circ}\)

Show Worked Solution

\(\text{Isosceles triangle}\ \ \Rightarrow\ \ \text{angles opposite equal sides are equal}\)

\(x^{\circ}\)	\(=180-(2 \times 35)\ \ \text{(180° in triangle)} \)
	\(=110^{\circ}\)