# The measures of the three angles of a triangle are given by 4x-1, 2x+1, and 6x. What is the measure of the largest angle?

Dec 9, 2016

${90}^{\circ}$

#### Explanation:

The sum of the three angles of a triangle always adds up to ${180}^{\circ}$.

$\implies \left(4 x - 1\right) + \left(2 x + 1\right) + 6 x = 180$
$\implies 12 x = 180$
$\implies x = 15$

$4 x - 1 = \left(4 \times 15\right) - 1 = {59}^{\circ}$
$2 x + 1 = \left(2 \times 15\right) + 1 = {31}^{\circ}$
$6 x = 6 \times 15 = {90}^{\circ}$

Hence, the largest angle is ${90}^{\circ}$