Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
In the figure below, lines 1 and 2 are parallel. Lines 3 and 4 are also parallel.

Calculate the measure of the indicated angles.

Answer 1

All the angles required are; ∠A = 122°, ∠E = 43°, ∠B = 137°, ∠F = 143°

How to find corresponding angles?

Angle A is calculated as;

∠A = 180° - 58° (because supplementary angles add up to 180°)

∠A = 122°

∠E = 43° (This is so because corresponding angles are equal).

∠B = 180° - 43°   (This is because sum of angles on a straight line is equal to 180°)

∠B = 137°

∠F = 180° - ∠B because supplementary angles add up to 180°

Thus;

∠F = 180° - 137

∠F = 143°

Thus, all the angles required are;

∠A = 122°, ∠E = 43°, ∠B = 137°, ∠F = 143°

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