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Mathematics

1 answer:

hoa [83]3 years ago

5 0

9514 1404 393

Answer:

a = 17
∠ABC = 78°

Step-by-step explanation:

The marked angles form a linear pair, so have a sum of 180°.

(4a +10) +(6a) = 180

10a = 170 . . . . . . . . . . subtract 10

a = 17 . . . . . . . . . . . . . divide by 10

Then the measure of angle ABC is ...

∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'

∠ABC = 78°

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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