If a triangle is right angled at y and the measure of the angle at Z is 60° then angle YXZ
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Answered by
0
Answer:
dud probably in exam lol
Step-by-step explanation:
Let XYZ is a right angle triangle
YZ=x,XZ=2x,∠Y=90
∘
By using Pythagoras theorem
XZ
2
=XY
2
+YZ
2
XY
2
=XZ
2
−YZ
2
=(2x)
2
−(x)
2
=4x
2
−x
2
=3x
2
∴XY=
3x
2
=
3
x
From ΔXYZ
tanx=
XY
YZ
=
3
x
x
=
3
1
=tan30
∘
⇒∠YXZ=30
∘
tanz=
YZ
XY
=
x
3
x
=
3
=tan60
∘
⇒YZX=60
∘
∴∠YXZ=30
∘
and ∠YXZ=60
∘
Answered by
0
Answer:
Measure of angle at X is 30⁰
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