Question

IN TIRANGLE XYZ ANGLE X =90 DEGREE ANGLE Z=A DEGREE ANGLE X =(A+30DEGREE) FIND ANGLE X
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Answer 1

Step-by-step explanation:

In △XYZ,∠Y=90

o

,∠Z=a

o

and ∠X=(a+30)

o

XZ=24 ...... (Given)

In triangle XYZ,

∠X+∠Y+∠Z=180

o

⟹(a+30)

o

+90

o

+a

o

=180

o

⟹2a=60

o

⟹a=30

o

∴∠Z=30

o

and ∠Y=60

o

Now, sin30

o

=

XZ

XY

⟹

2

1

=

24

XY

⟹XY=12 cm

Also, cos30

o

=

XZ

YZ

⟹

2

3

=

24

YZ

⟹YZ=12

3

cm

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