M // to n and angles 1 and 2 are in the ratio 3:2 . Determine all the angles from 1 to 8
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Given: mlln and ‹1:‹2= 3:2
Solⁿ: let ‹1 be 3x and ‹2 be 2x
‹1+‹2 = 180° [linear pair]
=> 3x + 2x = 180°
=> 5x = 180°
=> x = 180°/5 = 36°
.°. ‹1 = 3×36° = 108°
& ‹2 = 2×36° = 72°
‹3 = ‹2= 72° [vertically opp. angles]
‹4 = ‹1 = 108° [ " ]
Now, m ll n
.°. ‹5 = ‹1 = 108° [corresponding angles]
‹6 = ‹2 = 72° [ " ]
‹7 = ‹6 = 72° [vertically opp. angles]
‹8 = ‹5 = 108° [ " ]
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