Question 1045780
*[illustration TRIANGLE_1]
Let the two angles that are the same be: X
The largest angle then is: X+21
We know that all the angles of a triangle add up to be 180
In words, that would mean:
1st same angle + 2nd same angle + largest angle = 180
An algebraic equation to solve would be:
{{{X+X+(X+21)=180}}}
Solving the equation for X we get:
{{{3X+21=180}}}
{{{3X+21-21=180-21}}}
{{{3X=159}}}
{{{3X/3=159/3}}}
{{{X=53}}}
This is the measure of the smallest angles, they asked for the measure of the LARGEST angle.  The measure of the largest angle is: X+21
{{{53+21}}}
{{{highlight(74)}}}