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9 votes
9 votes
Please help me with this please!!

Please help me with this please!!-example-1
Please help me with this please!!-example-1
Please help me with this please!!-example-2
User Sraffa
by
2.9k points

1 Answer

18 votes
18 votes

9514 1404 393

Answer:

135°

Explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

∠2 +∠8 = 180°

15x +5x = 180°

x = 180°/20 = 9°

∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

∠3 = 135°

User DmitryBorodin
by
3.0k points