find the value of x,y,z
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raju65:
Is it possible to have a triangle in which (a)each angle is equal to 45degree (b)two of the angles are right angles (c) each angle is equal to
60degree (d) two of angle are obtuse (e) two
of angle are acute
(c) and (e) are possible
Answers
Answered by
2
In the uppermost triangle
25°+75°+x=180(angle sum property)
100+x=180
x =180-100
x= 80°
###... angle 25°=angle y(corresponding angles)
y=25
75+z= 180(linear pair
z=180-75
z=105.....(this is because of linear pair the angle adjacent to 75 will be 180-75 and tha angle will equal to z because of corresponding angles property)
In second figure in the triangle the third angle will be 35(alternate angles)
x+35+53=180(angle sum property)
88+x=180
x=180-88
x=92
Hope it helped....
25°+75°+x=180(angle sum property)
100+x=180
x =180-100
x= 80°
###... angle 25°=angle y(corresponding angles)
y=25
75+z= 180(linear pair
z=180-75
z=105.....(this is because of linear pair the angle adjacent to 75 will be 180-75 and tha angle will equal to z because of corresponding angles property)
In second figure in the triangle the third angle will be 35(alternate angles)
x+35+53=180(angle sum property)
88+x=180
x=180-88
x=92
Hope it helped....
thanks for help my answers
pleasure
Answered by
1
Hi !
In the triangle , that contains angle "x"
by angle sum property ,
75° + 25° + x° = 180°
100 + x° = 180°
∠ x = 80°
the angle above ∠ z = 75°( corresponding angles)
but ,
we know that
∠z + 75 = 180° ( linear pair)
z = 180 - 75
∠z = 105°
I have attached the same figure , in this ans with labellings.
in the figure ,
∠PAQ = 25° (Vertically opposite angles )
Also,
∠PAQ = ∠y ( alternate interior angles)
∴ ∠y = 25°
In the triangle , that contains angle "x"
by angle sum property ,
75° + 25° + x° = 180°
100 + x° = 180°
∠ x = 80°
the angle above ∠ z = 75°( corresponding angles)
but ,
we know that
∠z + 75 = 180° ( linear pair)
z = 180 - 75
∠z = 105°
I have attached the same figure , in this ans with labellings.
in the figure ,
∠PAQ = 25° (Vertically opposite angles )
Also,
∠PAQ = ∠y ( alternate interior angles)
∴ ∠y = 25°
Attachments:
there is a small error
angle z = 180-75 = 105
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