Chapter 7, Problem 6RP

To determine

To calculate : The measure of fourth angle of the quadrilateral

Answer to Problem 6RP

The measure of fourth angle of the quadrilateral is ${120}^0$

Explanation of Solution

Given information : The following measures are given

Angles of quadrilateral are ${40}^0$ , ${70}^0$ , and ${130}^0$

Formula used : The sum of the angles of any quadrilateral will be ${360}^0$

Calculation : We add up the angles ${40}^0$ , ${70}^0$ , and ${130}^0$ to sum them up to ${360}^0$ , thus we get

  ${40}^0+{70}^0+{130}^0+x={360}^0$

Thus, we get

  $x={120}^0$