Question

If the interior angle of triangle are 3x,4x,and5x find the ize of angle of the traingle. Alo fing the difference between larget and malleat angle

Answer 1

Explanation:

please, burn this into your brain for life :

the sum of all angles in a triangle is always (yes, no exceptions) 180°.

so,

3x + 4x + 5x = 180

12x = 180

x = 180/12 = 15

3x = 3×15 = 45°

4x = 4×15 = 60°

5x = 5×15 = 75°

the difference between largest and smallest angle is therefore

75 - 45 = 30°

Answer 2

45, 60, 75

Difference between the largest and smallest angles

75 - 40 = 35

Explanation:

First solve for x. The sum of the interior angles of a triangle is 180

3x + 4x + 5x =180 Combine like terms

12x + 180 Divide both sides by 12

`(12x)/(12)` =
`(180)/(12)`

x = 15

3x = 3(15) = 45

4x = 4(14) = 60

5x = 5(15) = 75