Answer:
Below.
Step-by-step explanation:
The 2 triangles are congruent ( By 2 angles and corresponding side).
The 2 marked angle are congruent so
5y - 30 = 2y + 6
3y = 36
y - 12.
So m < O = 5(12) - 30 = 30 degrees.
and m <N = 180 - 30 - 90 = 60 degrees, (as there are 180degrees in triangle)
EN = IV = 14.
It is possible to find the measure of OE and ON by using trigonometry of a right triangle.
tan 30 = EN / OE
OE = EN / tan30
= 14/tan30
= 24.3.
sin 30 = 14/ON
ON = 14 / sin 30
= 28.
