Chapter 2.4, Problem 4PSA

To determine

To Find: Larger angle

Answer to Problem 4PSA

  ${144}^{\circ }$

Explanation of Solution

Given information: One angle is four times the other.

let one angle is x then other will be 4x.

  $\because$ x and 4x are supplementary angle

  $\begin{array}{l}\therefore x+4x={180}^{\circ }\\ 5x={180}^{\circ }\\ x={36}^{\circ }\end{array}$

  $\therefore$ Large angle = $4x=4\times 36$

  = ${144}^{\circ }$