Question

the angles of the triangle are in the ratio of 2:4:6. Find the measure of all angles
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Answer 1

Answer:

Let the common ratio be x

Then ,

2x + 4x + 6x = 180

12x = 180

x = 180/12

x = 15

Therefore, 1st angle = 2X = 30°

2nd angle = 4x = 60°

3rd angle = 6x = 90°

Answer 2

GIVEN: Angles are in the ratio 2:4:6

Let the common ratio be 'x'.

By Angle Sum Property, sum of all the angles in a triangle is 180⁰

I.e, 2x + 4x + 6x = 180⁰

---> 12x = 180⁰

---> x = 180/12

---> x = 15⁰

So, measure of all the other angles will be 2(15), 4(15) and 6(15).

==> 30⁰, 60⁰ and 90⁰

∴ Required Angles are 30⁰, 60⁰ and 90⁰