Chapter 7.2, Problem 8PSA

To determine

To calculate : The supplement of the largest angle of the triangle.

Answer to Problem 8PSA

The supplement of the largest angle is ${84}^0$

Explanation of Solution

Given information : The following information has been provided

Ratio of angles is $3:4:8$

Formula used : The sum of the angles of any triangle add up to ${180}^0$

Calculation : We assume that angles of the triangle are

3x, 4x, and 8x

Thus, we know that

  ${180}^0=3x+4x+8x\to x=12$

We know now, that the largest angle will be

  $A=12(8)={96}^0$

Thus, the supplement of the angle A will be

  ${180}^0-{96}^0={84}^0$