1.

Find the measure of angle x in each of the following figures.

Answer»

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

x° and 35° are corresponding angles and so they are equal. 

∴ x = 35°

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

∴ x = 65° 

[∴ corresponding angles are equal].

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

Corresponding angles are equal 

∴ x = 145°

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

Corresponding angles are equal 

∴ x = 135°

(v) m and n are parallel lines, l is the transversal perpendicular to both the lines 

∴ x = 90°



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