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Answer:

• b. 65°

Step-by-step explanation:

In the question we are given with linear pair of angles where one angle is 44° and other angle is ( 2x + 6 )° .

#What are Linear pair of angles?

Linear pair of angles are formed when two lines intersect each other . Sum of linear pair of angles is 180°.

Solution:

• [tex]\sf{ {44}^{°} + {(2x + 6)}^{°} = {180}^{°} }[/tex]

Simplifying :

• [tex] \sf{2x + {50}^{°} = {180}^{°} }[/tex]

Subtracting 50° on both sides :

• [tex] \sf{2x + \cancel{{50}^{°} } - \cancel{{50}^{°} } = {180}^{°} - {50}^{°} }[/tex]

We get ,

• [tex] \sf{2x = {130}^{°} }[/tex]

Dividing both sides with 2 :

• [tex] \sf{ \dfrac{ \cancel{2}x}{ \cancel{2}} = \dfrac{ { \cancel{130}^{°} }}{ \cancel{2}} }[/tex]

We get ,

• [tex] \underline{\boxed{ \sf{ \bold{x = {65}^{°} }}}} \: \: \: \bigstar[/tex]

Therefore , value of x is " 65° " that means Option B is the correct answer .

Verification:

As we know sum of linear angles is equal to 180°. Hence ,

• 44° + { 2(65) + 6 }° = 180°

• 44° + 130° + 6° = 180°

• 50° + 130° = 180°

• 180° = 180°

• L.H.S = R.HS.

• Hence , Verified

Therefore , our answer is correct.

• Hope, it'll help you!! :)