Two angles of a triangle have the same measure and the third one is 12 degrees greater than the measure of each of the other two
. Find the measure of the LARGEST angle in the triangle.nah
1 answer:
Answer:
68
Step-by-step explanation:
Let x be the measure of one of the angles of the triangle
Two of the angles have the same measure, so another angle is x
The third is 12 degrees more, x+12
The sum of the three angles of a triangle is 180
x+x+x+12 = 180
Combine like terms
3x+12 = 180
Subtract 12 from each side
3x+12-12 = 180-12
3x = 168
Divide by 3
3x/3 = 168/3
x = 56
x=56
x=56
x+12 = 56+12 = 68
The largest angle is 68
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