Chapter 6, Problem 6CR

To determine

To calculate: The measure of the larger angle of the parallelogram

Answer to Problem 6CR

The measure of the larger angle of the parallelogram is ${105}^0$

Explanation of Solution

Given information: The following information is given

Consecutive angles of a parallelogram are in ratio $7:5$

Formula used: The sum of the consecutive angles of a parallelogram is always ${180}^0$

Calculation: Now, we assume the angles to be $7x$ and $5x$ respectively. Thus, we add them up to sum up to ${180}^0$ , we get

  $7x+5x={180}^0\to x={15}^0$

Hence, the larger angle will be $7x$ , thus substituting the value of x , we get

  $7x={105}^0$