Question

what is the relationship between angles G and F, and provide the equation that would be used to solve for x.

Answer 1

As per picture, we can state the quadrilateral DEFG is a parallelogram.

We know that parallelograms have a property that their adjacent angles are supplementary.

Hence we can set up equation:

• m∠G + m∠F = 180°

Substitute the values to get:

• 7x - 28 + 10x - 13 = 180

Simplify and solve it for x:

• 17x - 41 = 180
• 17x = 221
• x = 221/17
• x = 13