Question

In a figure, AB is a straight line, find the value of x and also find angle aoc , angle cod and angle bod, draw figure if you know

Answer 1

★ Solution ★

➡Given that A B is a straight line,

♠︎ Using the property , the sum of angles on a straight line =180

= 3x +7 +2x -19+ x = 180

= 6x= 180+12

=6x = 192

= x= 192/6

= 32

Hence , the angles are

x=32

3x+7 = 96+7

= 103

2x-19= 64-19

=45

➡Hence angles are 45, 103 and 32.

Mr. Gupta ✿

Answer 2

Given :-

→ AB is a straight line

→ Figure (Go through the attachment)

To find :-

→ x

→ ∠AOC

→ ∠COD

→ ∠BOD

Solution :-

→ As AB is a straight line, the sum of angle on the straight line (AB) at a point 0 will be equal to 180° which is referred as Linear Pair Axiom

→ ∴ (3x+7)° + (2x-19)° + x = 180°

→ 6x - 12 = 180°

→ 6x = 180 + 12

→ 6x = 192

→ x = ¹⁹²⁄₆

→ x = 32°

★The value of x is 32°

★The remaining angles :-

• ∠AOC = (3x+7)° = 3(32)+7 = 103°
• ∠COD = (2x-9)° = 2(32)-19 = 45°
• ∠BOD = x = 32°

★Verification :-

• ∠AOC + ∠COD + ∠BOD = 180°   (Linear Pair Axiom)
• 103° + 45° + 32° = 180°
• 180° = 180°
• L.H.S = R.H.S

Learn more: https://brainly.in/question/19780938#:~:text=Linear%20pair%20axiom%20of%20theorems,thr%20angles%20from%20a%20line. (Linear Pair Axiom)