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11Alexandr11 [23.1K]
3 years ago
12

What is the value of a ?

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Since these angles are vertical they are equal to one another. So we can write 6a + 10 = 3a + 55. To solve we subtract 3a from both sides and we get:

3a + 10 = 55, then we subtract 10 from each side: 3a = 45 and finally we divide both sides by 3 and get a = 15. Now that we know a we can plug it into one of the angles and just solve the statement. 6(15)+10 which gives us 100 for the measure of the angle.

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Answer:

4cm^2

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Answer:

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use known angles and rules to find unknown values

vertical angles (pairs of angles on opposite sides of an intersection) are equivalent

supplementary angles (angles found next to each other on a line) add up to 180 degrees

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