Lines and Angles

Question 7: In Diagram below, PWV is a straight line. (a) Which line is perpendicular to line PWV? (b) State the value of  ∠ RWU. Solution: (a) SW (b) ∠ RWU = 13o + 29o + 20o = 62o   Question 8: In Diagram below, UVW is a straight line. (a) Which line is parallel to … Read more

Question 4: In Diagram below, PQR is a straight line. Find the value of x. Solution: x o = ∠ Q R T + ∠ T R S ∠ Q R T = 40 o ∠ T R S = 180 o − 135 o = 45 o Hence, x o = 40 o + … Read more

8.2.1 Lines and Angles, PT3 Practice Question 1: In Diagram below, PQRS, ABQC and KRL are straight lines. Find the value of x. Solution: ∠ K R B + ∠ A B R = 180 o ← Sum of interior angles ∠ K R B + 105 o = 180 o ∠ K R B … Read more

Example 1: In Diagram below,PQ is parallel to RS. Determine the value of y. Solution: Construct a line parallel to PQ and passing through W. a = 40o and b = 50o← (Alternate angles) y = a + b   = 40o+ 50o    = 90o Example 2: In Diagram below, PSQ and STU are straight lines. … Read more

PT3 Smart TIP Alternate angles are easily identified by tracing out the pattern “Z” as shown. Corresponding angles are easily identified by the pattern “F” as shown. Interior angles are easily identified by the pattern “C” as shown.

8.1 Lines and Angles   Identifying Parallel, Transversals, Corresponding Angles, Alternate Angles and Interior Angles (A) Parallel lines Parallel lines are lines with the same direction. They remain the same distance apart and never meet. (B) Transversal lines A transversal is a straight line that intersects two or more straight lines. (C) Alternate angles (D) Corresponding … Read more