Question

Please give ... See the attachment..
do any 2 Question.....​

Answer 1

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= $\frac {180}{2}$

x=90

$\boxed {Hence, \: proved}$

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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°

$\boxed {∠C= 50°}$

As, ∠B is corresponding to ∠D

Therefore,

∠B= ∠D

70°= ∠D

$\boxed {∠D= 70°}$

As, ∠C is corresponding to ∠E

Therefore,

∠C= ∠E

50°= ∠E

$\boxed {∠E= 50°}$

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°

$\boxed {y= 110°}$

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°

$\boxed {z= 30°}$

As, z and x are linear pair

Therefore,

z+x= 180°

30°+x= 180°

x= 180°-30°

$\boxed {x= 150°}$

Therefore, value of x= 150° and y= 110°

Answer 2

Answer:

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°

Therefore, value of x= 150° and y= 110°

Step-by-step explanation:

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