Question

Find x and length of ML
x = ?

ML = ?

Answer 1

x = 70 , ML = 35

Explanation:

given the base angles of the triangle are congruent , that is

∠ K = ∠ L

then Δ KLM is isosceles with congruent legs , that is

KM = LM ( substitute values )

x - 35 =
`(x)/(2)` ( multiply through by 2 to clear the fraction )

2x - 70 = x ( subtract x from both sides )

x - 70 = 0 ( add 70 to both sides )

x = 70

Then

ML =
`(x)/(2)` =
`(70)/(2)` = 35