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never [62]
3 years ago
9

*

Mathematics
1 answer:
Andreyy893 years ago
7 0

Answer:

∠ 1 = 120°

Step-by-step explanation:

5x + 15 and 3x - 3 are same- side interior angles and sum to 180° , then

5x + 15 + 3x - 3 = 180 , that is

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

Then

5x + 15 = 5(21) + 15 = 105 + 15 = 120

∠ 1 and 5x + 15 are corresponding angles and are congruent , so

∠ 1 = 120°

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