Find the measure of angle ABC
2 answers:
In every triangle, the sum of the interior angles is 180°. The sum of the angles of this triangle is
and we want this sum to be 180, so we can write the following equation:
subtract 12 from both sides:
divide both sides by 3:
Now we can plug this value for x in the expressions for the two unknown angle to get their value:
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Answer:
(12,0) and (3, -1) and (0,-4/3)
Step-by-step explanation:
To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.
1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:
12 does equal 12, so (12,0) makes the equation true.
2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:
However, -108 does not equal 12, so (0,12) does not make the equation true.
3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:
12 does equal 12, so (3, -1) makes the equation true.
4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:
12 does equal 12, so (0, -4/3) makes the equation true.