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The ratio of the measures of the angles in a triangle is 2:6:8 find the measures of the largest angle

Respuesta :

Answer:

90°

Step-by-step explanation:

sum the parts of the ratio 2 + 6 + 8 = 16

The sum of the 3 angles in a triangle = 180°

divide 180 by 16 to find the value of one part of the ratio.

[tex]\frac{180}{16}[/tex] = 11.25° ← 1 part of the ratio

8 parts = 8 × 11.25° = 90°

The largest angle in the triangle is 90°