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

Question

3 years ago

12

. Find the measure of the LARGEST angle in the triangle.nah

1 answer:

mestny [16] · Answer 1 · 2022-06-04T21:41:05+03:00

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+12 = 56+12 = 68

The largest angle is 68