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23 August, 11:09

The angle measures of the three angles of a triangle are in the ratio $1:3:6$. What is the number of degrees in the measure of the largest angle?

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  1. 23 August, 14:23
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    Step-by-step explanation:

    Since the angles of a triangle all have to add up to equal 180, then, given the info we are given:

    1x + 3x + 6x = 180 and

    10x = 180 so

    x = 18

    That means that the smallest angle measures 18, the middle angle measures 3 (18) which is 54, and the largest angle measures 6 (18) which is 108.

    Checking our math, does 18 + 54 + 108 add up to equal 180? Yes, it does! Yay for us!
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