Question

. If the sizes of the angles of a triangle are 3x°, 4x°
and 5x”, find the smallest angle of the triangle.​

Answer 1

Answer:

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

i.e.

3x°+4x°+5x°=180°

12x°=180°

x°=180°/12

x°=15°

3x°= 3×15°=45°

4x°=4×15°=60°

5x°=5×15=75°

The smallest angle is 45° i.e. 3x°.

Answer 2

Answer:

3x is smallest angle of triangle...

Step-by-step explanation:

Given,

Size of angles of a triangle =

3x, 5x and 4x..

We know that the sum of the angles of a triangle = 180°

Therefore,

3x + 5x + 4x = 180°

12x = 180°

x = 180°/12

x = 15°

So, the sides of the triangle =

3x

= 3*15

= 45°

5x

= 5*15

= 75°

4x

= 4*15

= 60°..

Verification,

45° + 75° + 60° = 180°

180° = 180°

So, the smallest angle is 3x=45°...

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