lifeisgaming37
22.12.2020 •
Mathematics
Find x and m of angle wyl
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Ответ:
Step-by-step explanation:
x is clearly 42° because WU is an angle bisector of YWZ (which is 84, and bisecting means half of 84, that is 42)
now, for m of WYL
notice, YLW = 90°
also, UWL = 42°
name the intersection point of YL and WU as O in your mind
Apply angle sum property of a triangle for triangle WOL
angle WOL + angle UWL + angle YLW = 180
angle WOL + 90 + 42 = 180
angle WOL = 180 - 132
angle WOL = 48
now focus on line LOY
since LOY is a line, the angles a line intersecting it forms a linear pair, i.e
angle WOL + angle YOW = 180
48 + YOW = 180
angle YOW = 132
Now, apply angle sum property for triangle YOW
angle YOW + angle YWO (x) + angle WYO (or WYL) = 180
132 + 42 + WYO (or WYL) = 180
WYO (or WYL) = 6°
ask me in the comments if you have any doubts in this
Ответ:
The correct answer is D
Step-by-step explanation: