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Eddi Din [679]
3 years ago
5

Step by step please

Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

m∠2 = 121°

Step-by-step explanation:

Supplementary angles mean angles that add to 180°.

Since ∠ 1 and ∠ 2 are supplementary:

∠1 + ∠2 = 180°     Substitute using their equations

4y + 7 + 9y + 4 = 180°    Combine like terms

13y + 11 = 180°

13y = 180 - 11     Subtract 11 from each side

13y = 169

y = 169/13      Divide each side by 13

y = 13

Use y=13 and substitute into the equation for ∠ 2

m∠2 = 9y + 4

m∠2 = 9(13) + 4      Multiply 9 and 13

m∠2 = 117 + 4     Add

m∠2 = 121°       Final answer

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