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  • 22-09-2020
  • Mathematics
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∠1 is a complement of ∠2, and m∠1=68∘. ∠2 is a supplement of ∠3. Find m∠3.

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Аноним Аноним
  • 22-09-2020

Answer:

m∠3 = 158°

Step-by-step explanation:

Angles one and two are complementary angles.

Complementary angles add up to 90°. Given the measurement of ∠1:

68° + m∠2 = 90°

68° - 68° + m∠2 = 90° - 68°

m∠2 = 22°

Angles 2 and 3 are supplementary angles.

Supplementary angles add up to 180°.

22° +  m∠3 = 180°

22° + m∠3 = 180° - 22°  

m∠3 = 158°

Hope this helps.

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