In the diagram below, \(QR\) is parallel to \(SU\).
Find the value of \(x^{\circ}\), giving reasons for your answer. (2 marks)
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Solving Problems, SM-Bank 011
In the diagram below, \(QR\) is parallel to lines \(SU\) and \(VW\).
Find the value of \(x^{\circ}\), giving reasons for your answer. (3 marks)
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Solving Problems, SM-Bank 010
In the diagram below, \(BC\) is parallel to \(DE\) and \(\angle ACB\) is a right-angle.
Find the value of \(x^{\circ}\), giving reasons for your answer. (3 marks)
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\(\text{Extend line}\ BC: \)
\(\angle GCF=180-120=60^{\circ}\ \ \text{(180° in a straight line)}\)
\(x^{\circ} = 60^{\circ} \ \ \text{(corresponding angles)}\)
Show Worked Solution
\(\text{Extend line}\ BC: \)
\(\angle GCF=180-120=60^{\circ}\ \ \text{(180° in a straight line)}\)
\(x^{\circ} = 60^{\circ} \ \ \text{(corresponding angles)}\)
Solving Problems, SM-Bank 009
In the diagram below, two parallel lines \(OB\) and \(DC\) cut the horizontal transversal \(OE\), and \(OA\) is perpendicular to \(OE\).
Find the value of \(a^{\circ}\), giving reasons for your answer. (2 marks)
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Solving Problems, SM-Bank 027
Find the value of \(x^{\circ}\) in the diagram, giving reasons for your answer. (2 marks)
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Show Worked Solution
\(\text{Angle above}\ \angle (3x)^{\circ} = (180-3x)^{\circ}\ \ \text{(180° in a straight line)}\)
| \(180-3x\) | \(=x\ \ \text{(corresponding angles)} \) | |
| \(4x\) | \(=180\) | |
| \(x^{\circ}\) | \(=\dfrac{180}{4}\) | |
| \(=45^{\circ}\) |
Solving Problems, SM-Bank 024
Find the value of \(x\) in the diagram, giving reasons for your answer. (2 marks)
Show Worked Solution
\(\text{Supplementary angles sum to 180°}\ (180-82 = 98^{\circ}) \)
| \(x-15\) | \(=98\ \ \text{(corresponding angles)}\) | |
| \(x^{\circ}\) | \(=98+15\) | |
| \(=113^{\circ}\) |