Find the measure of angles in each of the following figures.

1.	Find the measure of angles in each of the following figures.
Answer» (i) m and n are parallel lines. l is the transversal. Then alternate interior angles are equal ∴ y = 28° (ii) m and n are parallel lines. l is the transversal. Alternate exterior angles are equal ∴ y = 58° (iii) m and n are parallel lines. l is the transversal. Alternate interior angles are equal ∴ y = 123° (iv) m and n are parallel lines. l is the transversal alternate exterior angles are equal. ∴ y = 108°

Answer»

(i) m and n are parallel lines. l is the transversal.

Then alternate interior angles are equal

∴ y = 28°

(ii) m and n are parallel lines. l is the transversal.

Alternate exterior angles are equal

∴ y = 58°

(iii) m and n are parallel lines. l is the transversal.

Alternate interior angles are equal

∴ y = 123°

(iv) m and n are parallel lines. l is the transversal alternate exterior angles are equal.

∴ y = 108°

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