Determine the value of \(x^{\circ}\) in the quadrilateral above, giving reasons for your answer. (2 marks)
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Properties of Geometric Figures, SM-Bank 040
Determine the value of the two unknown angles in the quadrilateral above, giving reasons for your answer. (3 marks)
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Properties of Geometrical Figures, SM-Bank 035
Find the value of \(a^{\circ}\) in the diagram below. (2 marks)
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Properties of Geometrical Figures, SM-Bank 034
Find the value of \(x^{\circ}\) in the diagram below. (2 marks)
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Properties of Geometric Figures, SM-Bank 033
Find the value of \(a^{\circ}\) in the diagram below. (2 marks)
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Show Worked Solution
\(\angle BCD\ \text{(reflex)} = 360-130=230^{\circ}\)
\(\text{Since there are 360° in a quadrilateral:}\)
| \(360\) | \(=a+40+230+30\) | |
| \(360\) | \(=a+300\) | |
| \(a^{\circ}\) | \(=360-300\) | |
| \(=60^{\circ}\) |
Properties of Geometric Figures, SM-Bank 032
Find the value of \(x^{\circ}\) in the diagram below. (2 marks)
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Properties of Geometrical Figures, SM-Bank 029
Divide quadrilateral \(ABCD\) into triangles and using the angle sum of one triangle, determine the sum of the internal angles of a quadrilateral. (2 marks)
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Show Answers Only
\(ABCD\ \text{can be divided into 2 triangles.}\)
\(\text{Angle sum of a triangle = 180°}\)
\(\text{Angle sum of}\ ABCD = 2 \times 180^{\circ} = 360^{\circ}\)
Show Worked Solution
\(ABCD\ \text{can be divided into 2 triangles.}\)
\(\text{Angle sum of a triangle = 180°}\)
\(\text{Angle sum of}\ ABCD = 2 \times 180^{\circ} = 360^{\circ}\)
Properties of Geometric Figures, SM-Bank 028
Divide quadrilateral \(ABCD\) into triangles and using the angle sum of one triangle, determine the sum of the internal angles of a quadrilateral. (2 marks)
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Show Answers Only
\(ABCD\ \text{can be divided into 2 triangles.}\)
\(\text{Angle sum of a triangle = 180°}\)
\(\text{Angle sum of}\ ABCD = 2 \times 180^{\circ} = 360^{\circ}\)
Show Worked Solution
\(ABCD\ \text{can be divided into 2 triangles.}\)
\(\text{Angle sum of a triangle = 180°}\)
\(\text{Angle sum of}\ ABCD = 2 \times 180^{\circ} = 360^{\circ}\)