Question

Please help me with this question.

Answer 1

The measurement of largest angle is 83°

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

`(2x+1)+(x+15)+x = 180\\2x+1+x+15+x = 180\\4x+16 = 180\\4x = 180-16\\4x = 164\\(4x)/(4) = (164)/(4)\\x = 41`

Now the measurement of angles are:

x = 41

`2x+1 = 2(41)+1 = 82+1 =83\\x+15 = 41+15 = 56`

Hence,

The measurement of largest angle is 83°