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Can someone help. I literally forgot this how

Can someone help. I literally forgot this how-example-1

1 Answer

3 votes

Answer:

Below.

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.

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