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Elis [28]
3 years ago
8

The measures of the angles in a triangle are in the ratio of 2:2:4. Find the exterior angle that is adjacent to the largest angl

e
Mathematics
2 answers:
krok68 [10]3 years ago
8 0

Answer:

90°

Step-by-step explanation:

Let there measures of the angles of a triangle are 2x, 2x and 4x.

We know that the sum of angles of a triangle is equal to 180°. So,

2x+2x+4x=180

8x=180

x = 22.5

We know that, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

So, the exterior angle = 4x = 4(22.5) = 90°

Sergeeva-Olga [200]3 years ago
5 0

Answer:

The answer is 90 degrees

Step-by-step explanation:

2 + 2 + 4 = 8

180 / 8 = 22.5

22.5 * 4 = 90

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                             x  +  4y  =  10

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b) x = 2, y = -3       This option is incorrect

  (2)  +  4(-3)  =  10                  2 -12 = 10            -10 ≠ 10

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c)  x = -2, y = 3    This is the right answer

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d) x = 3, y = -2               This option is incorrect

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 5(3) + 10(-2)  = 20              15 - 20 = 20              -10 ≠ 10

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