The measures of the angles of a triangle are given x + 4 , x , and 2x. what’s the value of x ?

Feb 28, 2018

$x = 44$

Explanation:

$\text{the sum of the angles in a triangle } = {180}^{\circ}$

$\text{add the 3 given angles and equate to 180}$

$x + 4 + x + 2 x = 180$

$\Rightarrow 4 x + 4 = 180$

$\text{subtract 4 from both sides}$

$4 x \cancel{+ 4} \cancel{- 4} = 180 - 4$

$\Rightarrow 4 x = 176$

$\text{divide both sides by 4}$

$\frac{\cancel{4} x}{\cancel{4}} = \frac{176}{4}$

$\Rightarrow x = 44$

$\text{the 3 angles in the triangle are therefore}$

$x = {44}^{\circ} , x + 4 = 44 + 4 = {48}^{\circ} , 2 x = 2 \times 44 = {88}^{\circ}$

$\text{note that } 44 + 48 + 88 = {180}^{\circ}$

Feb 28, 2018

x = 44°

Explanation:

Angles in a triangle = 180°

So

(x + 4°) + (x) + (2x) = 180°

4x + 4° = 180°

4x = 176°

x = 44°