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.

Related Lessons:
  1. S1 Angles & Parallel Lines
  2. S1 Angles & Parallel Lines Practice 1

Practice 2 - Question 1

In the diagram above, AC is parallel to PQ, CD=CB,\(\angle BAC=33°\) and \(\angle CBQ=75°\).

  1. Calculate \(\angle ABC\)
  2. Calculate \(\angle ACD\)
  3. 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?

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,

  1. \(\angle a\)
  2. \(\angle b\)
  3. \(\angle c\)

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.

Practice 2 - Question 4

In the figure above, ADB is a straight line and BD=CD. Find, stating all reasons clearly,
  1. the value of \(x\)
  2. \(\angle ACD\)

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,
  1. \(\angle HKC\)
  2. \(\angle QCK\)

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 \(\angle XZB\).

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Related Lessons:

  1. S1 Angles & Parallel Lines
  2. S1 Angles & Parallel Lines Practice 1

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