Chapter 5, Problem 6CR

To determine

To prove: that $SANG$ is a parallelogram.

Explanation of Solution

Given information:

Given figure,

Given:

  $\angle ASG\cong \angle GNA$

Calculation:

Figure shows a quadrilateral $SANG$ .

Consider that $\angle ASG\cong \angle GNA$ and these are opposite angles of quadrilateral $SANG$ .

If $\angle SGN\cong \angle SAN$ , one more fact will be given then quadrilateral $SANG$ is a parallelogram.