Sue left her house traveling due west towards the store. After 50 yards she traveled due north 120 yards to the store. When she left the store, she cut across the field and
traveled along a straight path. How much shorter was the path Sue took home than the
path she took to the store?

Nine more than four times a number is the same as one less than twice the number. find the number?

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

What are the measures of angles a, b, and c? show your work and explain your answers. 25 points