Answer:
see explanation
Explanation:
14
∠ 1 and 80° are same- side interior angles and sum to 180° , then
∠ 1 + 80° = 180° ( subtract 80° from both sides )
∠ 1 = 100°
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∠ 2 and 70° are alternate angles and are congruent (equal ) , then
∠ 2 = 70°
16
3x - 10 and x + 40 are corresponding angles and are congruent , then
3x - 10 = x + 40 ( subtract x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Then
3x - 10 = 3(25) - 10 = 75 - 10 = 65°
x + 40 = 25 + 40 = 65°