Question

one angle of the triangle is 60 and the two other angles are in the proportion 5:7 find the two angles​

Answer 1

Answer:

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Answer 2

One of the angle of triangle = 60°

Ratio of remaining angles of triangle = 5 : 7

We know,

• Sum of all angles of the triangle = 180°

$\to 60 + 5x + 7x = 180 \\ \\ \to \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12x = 180 - 60 \\ \\ \to \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:12 x= 120 \\ \\ \to \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{120}{12} \\ \\ \to \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:x = 10 \degree$

Thus,

• Measurements of remaining angles of triangle is 50° and 70°