Answer:
The measurement of largest angle is 83°
Step-by-step explanation:
Given angles are:
(2x+1)° , (x+15)° and x°
The sum of internal angles of a triangle is 180°
We will use this sum to find the value of x first
[tex](2x+1)+(x+15)+x = 180\\2x+1+x+15+x = 180\\4x+16 = 180\\4x = 180-16\\4x = 164\\\frac{4x}{4} = \frac{164}{4}\\x = 41[/tex]
Now the measurement of angles are:
x = 41
[tex]2x+1 = 2(41)+1 = 82+1 =83\\x+15 = 41+15 = 56[/tex]
Hence,
The measurement of largest angle is 83°
