Angles & Parallel Lines Practice 2
This section offers 6 targeted questions to help you master rounding to decimal places and significant figures. Use them to practice, revise, or check your accuracy, and strengthen your understanding of these important techniques.
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Practice 2 - Question 1
In the diagram above, AC is parallel to PQ, CD=CB,\(\angle BAC=33°\) and \(\angle CBQ=75°\).
- Calculate \(\angle ABC\)
- Calculate \(\angle ACD\)
- A point X is such that DX is parallel to CB, and BX is parallel to CD. What is the special name of the quadrilateral BCDX?
Answers:
\(\angle ABC=72°, \angle ACD=39°\), Rhombus
Practice 2 - Question 2
In the diagram above, RST is a straight line and is parallel to PQ. \(\angle PSQ=84°\) and \(\angle QST=65°\). Calculate, stating all reasons clearly,
- \(\angle a\)
- \(\angle b\)
- \(\angle c\)
Answers:
\(\angle a=31°, \angle b=31°,\angle c=65°\)
Practice 2 - Question 3
In the diagram above, AB is parallel to CD and EF is parallel to DB. Given that \(\angle ABD=35°\). Find the values of \(x\) and \(y\) in the figure, stating the reasons clearly.
Answers:
\(\angle x=145°, ∠y=215°\)Practice 2 - Question 4
In the figure above, ADB is a straight line and BD=CD. Find, stating all reasons clearly,
- the value of \(x\)
- \(\angle ACD\)
Answers:
\( x=6, \angle ACD=30°\)Practice 2 - Question 5
In the diagram, HK, PQ and AB are parallel lines, \(\angle CAT=154°\) and \(\angle ABC=52°\). Calculate, stating your reasons clearly,
- \(\angle HKC\)
- \(\angle QCK\)
Answers:
\(\angle HKC=26°, \angle QCK=102°\)Practice 2 - Question 6
In the diagram, XBY and XAZ are straight lines. \(\angle XZY=110°\), \(\angle XBZ=125°\) and AB is parallel to ZY. Given that \(\angle ABX=\frac{8}{25}\angle XBZ\), calculate \(\angle XZB\).
Answers:
\(\angle XZB=25°\)Step By Step Full Solution
If students had difficulty solving the questions or would like a clearer explanation of the methods used, students can refer to the comprehensive solutions below. Each problem is explained in a detailed, step-by-step manner to help students master the techniques involved.