Question

Suppose x>8, which of the following must be true? angle Aangle D, angle A>angle E, or angle A=angle E.

Answer 1

@ohshiela

This theorem applies:

(SSS inequality theorem)

If two sides of one triangle are congruent to the corresponding two sides of another triangle, but the third side of the first triangle
is longer than the third side of the second triangle, then the angle included between two sides of the first triangle is greater than
the angle included between two sides of the second triangle.

Answer 2

Angles A and E are the included angles here.

Choose a value of x >8 (I chose 9) and crank out the value of sides BC and DF with the assumption that x = 9. Then, apply the SSS Inequality Theorem.