What is the measure of angle 1?

Mathematics

1 answer:

ioda3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

∠1 and 170° form a straight angle and are supplementary, thus

∠1 = 180° - 170° = 10°

∠1 and ∠3 are vertical angles and congruent , thus

∠3 = 10°

∠2, 15° and ∠3 form a straight angle and sum to 180°, thus

∠2 = 180° - 15° - 10° = 155°

Thus

∠1 = 10°, ∠2 = 155°, ∠3 = 10°

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