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kotykmax [81]
3 years ago
8

Find the measure of angle ABC

Mathematics
2 answers:
Julli [10]3 years ago
7 0

In every triangle, the sum of the interior angles is 180°. The sum of the angles of this triangle is

32+(2x-15)+(x-5) = 2x+x+32-15-5 = 3x+12

and we want this sum to be 180, so we can write the following equation:

3x+12 = 180

subtract 12 from both sides:

3x = 168

divide both sides by 3:

x = \cfrac{168}{3} = 56

Now we can plug this value for x in the expressions for the two unknown angle to get their value:

B = x-5 = 56-5 = 51,\quad C = 2x-15 = 2\cdot 56-15 = 112-15 = 97

enot [183]3 years ago
4 0
You will get x as 56 and angle ABC as 51°
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