Question

Given the statement, LEI=BNZ and the diagrams shown, determine the value of x.

Answer 1

Answer:

x = 20

Step-by-step explanation:

Given the triangles are congruent then corresponding angles are congruent, so

∠ N = ∠ E

To calculate ∠ E subtract the sum of the 2 given angles from 180

∠ E = 180 - (x - 5 + 4x - 10)

     = 180 - (5x - 15)

Equate ∠ N and ∠ E

5x - 5 = 180 - 5x + 15 ( add 5x to both sides )

10x - 5 = 195 ( add 5 to both sides )

10x = 200 ( divide both sides by 10 )

x = 20