Here are the calculations for the marked angles in parts (d) and (f): d) Step 1: Calculate angle x. The 43° angle and angle x form a linear pair on the transversal. Angles in a linear pair sum to 180°. x + 43° = 180°; x = 180° − 43°; x = 137° Reason: Angles on a straight line sum to 180°. Step 2: Calculate angle y. Angle x and angle y are alternate interior angles. When two parallel

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May 31, 2026Mathematics

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Here are the calculations for the marked angles in parts (d) and (f):

Calculate angle $x$ .
The $43^\circ$ angle and angle $x$ form a linear pair on the transversal. Angles in a linear pair sum to $180^\circ$ .
$x + 43^\circ = 180^\circ$ $x = 180^\circ - 43^\circ$ $x = 137^\circ$
Reason: Angles on a straight line sum to $180^\circ$ .
Calculate angle $y$ .
Angle $x$ and angle $y$ are alternate interior angles. When two parallel