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Question
Find the value of angle a in the following figure
Solution
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°
a = `(32^circ)/4`
a = 8°
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