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20 votes
20 votes
Can someone pleasee answer this

Can someone pleasee answer this-example-1
User Thomas Smyth
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3.0k points

2 Answers

22 votes
22 votes
Not for 5 points. Maybe for 10 points, but not 5.
User Nerdybeardo
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2.8k points
15 votes
15 votes
Angles in a triangle add up to 180.
Angles on a straight line also add up to 180.

Using this knowledge, you can find angle OLW which lies on a straight line:

180 – (2x–48)

(Where 2x – 48 is the other angle which lies on the straight line)

180 – 2x + 48

228 – 2x

So angle OLW is 228 – 2x.


Now that you know all the angles in the triangle, add the sum of all the angles and make it equal to 180 to find the value of x (you make it equal to 180 because all angles in a triangle add up to 180).

180 = 228 – 2x + x + 32

180 = 260 – x

180 + x = 260

x = 260 – 180

x = 80

So the value of x is 80.


Substitute x = 80 into the expressions for the angles to find the sizes of the angles.

Angle FOW = x
Angle FOW = 80

Angle FLW = 2x – 48
Angle FLW = 2(80) – 48
Angle FLW = 160 – 48
Angle FLW = 112

Angle OLW = 180 – 80 – 32
Angle OLW = 68

User Nils Anders
by
2.8k points
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