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in Geometry by (26.1k points)
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Find the value of angle ‘a’ in each of the following figures

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

∴ Corresponding angles are equal

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

Exterior angles that lie on the same side of the transversal are supplementary 

∴ (4a + 13) + 135° = 180° 

4a + 13 + 135° = 180° 

4a + 148° = 180° 

4a + 148° – 148° = 180° – 148°

4a = 32°

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

∴ Alternate interior angles are equal

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

Which is perpendicular to m and n

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