Properties of Geometrical Figures, SM-Bank 018

The diagram below shows a right-angled triangle.

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

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\(138^{\circ}\)

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\(\text{Right angle}\ = 90^{\circ} \)

\(a^{\circ}\)	\(=48+90\ \ \text{(external angle = sum of interior opposite angles)} \)
	\(=138^{\circ}\)