3 years ago

Given mZAOC is a straight angle. MZAOB = 8x + 51° mZBOC = 6x - 25° Find mZAOB=

Mathematics

1 answer:

Tatiana [17]3 years ago

7 0

Answer:

∠ AOB = 139°

Step-by-step explanation:

Since AOC is a straight line then

∠ AOB + ∠BOC = 180° , that is

8x + 51 + 6x - 25 = 180

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Then

∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°

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