The diagram below shows an isosceles triangle.
Find the value of \(x^{\circ}\), giving reasons for your answer. (2 marks)
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| \(2y^{\circ}\) | \(=180-32\ \ \text{(angles opposite equal sides in isosceles triangle)} \) | |
| \(y^{\circ}\) | \(=\dfrac{148}{2}\) | |
| \(=74^{\circ}\) | ||
| \(x^{\circ}\) | \(=32+74\ \ \text{(external angle = sum of interior opposite angles)} \) | |
| \(=106^{\circ}\) |
Show Worked Solution
| \(2y^{\circ}\) | \(=180-32\ \ \text{(angles opposite equal sides in isosceles triangle)} \) | |
| \(y^{\circ}\) | \(=\dfrac{148}{2}\) | |
| \(=74^{\circ}\) | ||
| \(x^{\circ}\) | \(=32+74\ \ \text{(external angle = sum of interior opposite angles)} \) | |
| \(=106^{\circ}\) |