If triangle ABC is congruent to triangle DEC angle b = x + 15 and angle e = 6x - 65

x = 16

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent.

∠ B and ∠ E are corresponding angles and congruent, thus

6x - 65 = x + 15 ( subtract x from both sides )

5x - 65 = 15 ( add 65 to both sides )

5x = 80 ( divide both sides by 5 )

x = 16

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.