A is 3 times as large as b and 16 degrees larger than c what is the measure of each angle?

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Answer

1121760

2026-04-05 01:10

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I suppose your talking about a triangle.

The angles of a triangle add up to 180 degrees.

So A + B + C = 180

If A is three times the size of B

and if A is C + 16 degrees

Then (3B) + B +(3B - 16) = 180

So, let's remove the brackets..... 3B + B + 3B - 16 = 180

Add the Bs and move the 16 to the other side of the equation...

7B = 180 + 16

7B = 196

B = 196 / 7

B = 28

So now we know B we can work out the other angles...

A = 3B = 3 x 28 = 84

C = A - 16 = 84 - 16 = 68

A = 84

B = 28

C = 68

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Sum 180

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