Question

Find X=___and y=____?

Answer 1

The missing values of the congruent shapes are:

y = 4

x = 17.5

How to find the lengths of the congruent shapes?

We are told that the quadrilaterals are congruent. Thus:

ABCD ≅ FGCD

This means corresponding angles and sides are congruent by the CPCTC Postulate.

Thus:

AB ≅ FG

3y + 2 = 14

3y = 12

y = 4

Similarly:

4x + 21 = 91

4x = 70

x = 70/4

x = 17.5