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Answers
1.) Let angle= x
other two angles= y and z
By using angle sum property of triangle.
x+y+z=180
We are given that one angle is the sum of other two angles.
So, we can write y+z= x
x+x=180
2x=180
x=
x=90
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2.) By angle sum property of triangle:-
∠A + ∠B + ∠C= 180°
60° + 70° + ∠C= 180°
130° + ∠C= 180°
∠C= 180°-130°
As, ∠B is corresponding to ∠D
Therefore,
∠B= ∠D
70°= ∠D
As, ∠C is corresponding to ∠E
Therefore,
∠C= ∠E
50°= ∠E
Therefore, ∠C= 50°, ∠D= 70° and ∠E= 50°
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3.) As y and 70° are linear pair
Therefore,
y+70°= 180°
y= 180°-70°
Let an angle z to be present on third angle of this triangle.
Therefore, by Angle sum property:-
y+40°+z= 180°
110°+40°+z= 180°
150°+z= 180°
z= 180°-150°
As, z and x are linear pair
Therefore,
z+x= 180°
30°+x= 180°
x= 180°-30°
Therefore, value of x= 150° and y= 110°
1.) Let angle= x
other two angles= y and z
By using angle sum property of triangle.
x+y+z=180
We are given that one angle is the sum of other two angles.
So, we can write y+z= x
x+x=180
2x=180
x=
x=90
_____________________
2.) By angle sum property of triangle:-
∠A + ∠B + ∠C= 180°
60° + 70° + ∠C= 180°
130° + ∠C= 180°
∠C= 180°-130°
As, ∠B is corresponding to ∠D
Therefore,
∠B= ∠D
70°= ∠D
As, ∠C is corresponding to ∠E
Therefore,
∠C= ∠E
50°= ∠E
Therefore, ∠C= 50°, ∠D= 70° and ∠E= 50°
_____________________
3.) As y and 70° are linear pair
Therefore,
y+70°= 180°
y= 180°-70°
Let an angle z to be present on third angle of this triangle.
Therefore, by Angle sum property:-
y+40°+z= 180°
110°+40°+z= 180°
150°+z= 180°
z= 180°-150°
As, z and x are linear pair
Therefore,
z+x= 180°
30°+x= 180°
x= 180°-30°