Question

Find the value of angle d - c

Answer 1

Answer:

40°

Solution:

[ In order to find the difference between d and c, we will find d first, then to find c, we will need to find the x first. So that we could find c as an angle of the triangle ]

let the third angle of the triangle be x.

➞ ∠x + 130° = 180° ( linear pair )

➞ ∠x = 180° - 130°

➞ ∠x = 50°

➞ ∠d + 75° + 20° = 180° ( linear angles )

➞ ∠d + 95° = 180°

➞ ∠d = 180° - 95°

➞ ∠d = 85°

( Now, we can see, ∠d, ∠c, ∠x are angles of a triangle, so there's some should be 180° )

➞ ∠d + ∠c + ∠x = 180°

➞ 85° + ∠c + 50° = 180°

➞ ∠c + 135° = 180°

➞ ∠c = 180° - 135°

➞ ∠c = 45°

The difference between ∠d and ∠c

➞ ∠d - ∠c

➞ 85° - 45°

➞ 40°

40° is the difference between d and c

Answer 2

Question :

• To find angle d and c.

Answer :

firstly, we have to find <d ,

let's do ::

Take 75° and 20° as 1 and 2

We know that ,

= <d + 1 + 2 = 180° because of Linear pair property.

= <d + 75° + 20° = 180

= <d = 180° - ( 75 + 20)

= <d = 180 - 95

= <d = 85

= <d = 85°

Take 130° 's adjacent angle as x,

So,

= 130 + x = 180

Also because of Linear pair property.

= 130 + x = 180

= x = 180- 130

= x = 50

= <x = 50°

So, the angles of a triangle <d , <x is 85° and 50°.

Then,

We have to find <c,

= <C = 180 -(85+50)

= <C = 180 - 135

= <C = 45

= <C = 45°

ie, The value of <C and <D is 45° and 85°.

<d - <c

= 85 - 45

= 40°