Answer :
1. m∠1 = 2x + 25 and m∠8 = x + 75
Solution:
2x + 25 + x + 75 = 180
– 3x + 25 + 75 = 180
– 3x + 100 = 180
– 3x = 80
– x = 80/3
2. m∠2 = 3x - 10 and m∠6 = 2x + 45
Solution:
3x - 10 + 2x + 45 = 180
– 5x - 10 + 45 = 180
– 5x + 35 = 180
– 5x = 180 - 35
– 5x = 145
– x = 29
3. m∠4 = 4x - 31 and m∠8 = 2x + 7
Solution:
4x - 31 + 2x + 7 = 180
– 6x - 31 + 7 = 180
– 6x - 24 = 180
– 6x = 180 + 24
– 6x = 204
– x = 34
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