Practise the method.Example 1The marked adjacent angles lie on a straight line. One is 60∘. Find x, in degrees.Straight-line anglesStraight-line anglesA straight line with an upward ray divides its angle into 60 degrees and x. Diagram not to scale. Use the labelled measurements.60°x°Diagram not to scaleShow worked answerAnswer: 120Angles on a straight line sum to 180∘.x=180−60=120∘.Example 2Two straight lines intersect. The marked angle is 80∘. Find the vertically opposite angle x.Intersecting straight linesIntersecting straight linesTwo straight lines cross. The opposite upper-left and lower-right angles are labelled 80 degrees and x. Diagram not to scale. Use the labelled measurements.80°x°Diagram not to scaleShow worked answerAnswer: 80Vertically opposite angles are equalx=80∘.Example 3The horizontal lines are parallel. The upper marked angle is 140∘. Find the corresponding angle x.Parallel lines and a transversalParallel lines and a transversalTwo parallel horizontal lines are crossed by one sloping transversal. Corresponding angles are 140 degrees and x. Diagram not to scale. Use the labelled measurements.140°x°Diagram not to scaleShow worked answerAnswer: 140Corresponding angles on parallel lines are equal.x=140∘.