Question

8. A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB
Find angleBCF​

Answer 1

Answer:

Given

abcde is a regular pentagon

then, measure of each in interior angel of the regular pentagon

sum of interior angel =(x-2)x180

number of side 5

=(5-2)x180=540=180

5 5

therefore,in afbc, by the angel sum, we have

angel FBC +angel BFC =180

angel BCF+angle BFC=180-162

angel BCF+angle BFC=18