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3 votes
Find the value of a.

Show your answers

Find the value of a. Show your answers-example-1
User BronzeByte
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2 Answers

5 votes

4a - 8 + 4a - 8 + 4a - 8 = 180°

The sum of interior angle of triangle is 180°

12a - 24 = 180°

12a = 204


a = (204)/(12) \\

a = 17°

5 votes
To start with this problem, we have to understand a couple of things. First, looking at the triangle, each side has a mark, meaning that all sides are equal, and therefore, all angles are equal too. You also have to know that the sum of three angles of any triangle is 180 degrees. So if all sides are equal and they add up to 180 degrees, we have to find the measure of one angle, or H. We can do that by dividing 180 by 3, which is 60.
Next, we will set the given measure of angle H to 60.
4a-8=60
Add 8 to both sides:
4a=68
Divide 4 to both sides:
a=17
That’s your answer!
Hope this helped!
User JRG
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