Question

Find the greatest angle of a triangle where the ratio of angles of the triangle is 1:2:3. *
30°
60°
90°
180°

Answer 1

Answer:

120 degree 80 degree 79 dgree

Step-by-step explanation:

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Answer 2

Answer:

90°

Step-by-step explanation:

As per the question, the ratio is 1:2:3

Let's take it to be x, 2x and 3x.

Now we know that the sum of all the three angles of a triangle is 180°.

.•. x + 2x + 3x = 180°

--> 6x = 180°

--> x = 180°/ 6

--> x = 30°

Now in the ratio the greatest angle is that of 3x.

Now in the ratio the greatest angle is that of 3x. Thus, 3x = 3 × 30° = 90° (option c)

The other angles are x = 30° and 2x = 2 × 30° = 60°.

This makes the triangle an acute right angled triangle.

Hope it helps!

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