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svetlana [45]
4 years ago
8

25. angle EFG and angle GFH are a linear pair,

Mathematics
1 answer:
vivado [14]4 years ago
7 0

Answer:

m<EFG = 69^{o}, and m<GFH = 111^{o}

Step-by-step explanation:

Linear pair angles are two supplementary angles.

Thus,

m<EFG + m<GFH = 180^{o}

2n + 21 + 4n + 15 = 180^{o}

collecting like terms, we have:

6n + 36 = 180^{o}

6n = 180^{o} - 36

6n = 144^{o}

divide both both sides by 6,

n = 24^{o}

Therefore,

m<EFG = 2n + 21

            = 2 x 24^{o} + 21

            = 48 + 21

            = 69^{o}

m<GFH = 4n + 15

             = 4 x 24^{o} + 15

            = 96 + 15

            = 111^{o}

Thus m<EFG = 69^{o}, and m<GFH = 111^{o}

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