Math, asked by kamakshinegi68, 5 months ago

if AOB is a straight line, then x is
x- 20°
2x+40°



Attachments:

Answers

Answered by barani7953
0

Answer:

We know that AOB will be a straight line only if the adjacent angles form a linear pair.

∠BOC + ∠AOC = 180o

By substituting the values we get

(4x – 36)o + (3x + 20)o = 180o

4x – 36o + 3x + 20o = 180o

On further calculation we get

7x = 180o – 20o + 36o

7x = 196o

By division we get

x = 196/7

x = 28

Therefore, the value of x is 28.

Answered by akshay0222
6

Given,

The line AOB is a straight line.

To find,

The value of x.

Solution,

Know that the angle of a straight line is \[180^\circ .\]

Therefore,

\[\begin{array}{l} \Rightarrow 2x + 40^\circ  + x - 20^\circ  + x = 180^\circ \\ \Rightarrow 4x + 20^\circ  = 180^\circ \\ \Rightarrow 4x = 180^\circ  - 20^\circ \\ \Rightarrow 4x = 160^\circ \end{array}\]

Solve further,

\[\begin{array}{l} \Rightarrow x = \frac{{160^\circ }}{4}\\ \Rightarrow x = 40^\circ \end{array}\]

Hence, the value of x is \[40^\circ \].

Similar questions