The sum of 4, 2, and a number amounts to 16. find the number

The number is 10

Step-by-step explanation:

Let x represent the unknown number

4+2+x=16

6+x=16

6+x-6=16-6

x=10

Step-by-step explanation:

Use triangle congruency:

BC=EC, AC=DC - Given

m∠DCE = m∠ACB because they are vertical angles

Therefore ΔABC ≅ ΔDEC because of Side-Angle-Side congruency

AB=DE because corresponding parts of congruent triangles are also congruent (CPCTC)