Question

Find the value of x.
44°
76°
to

Answer 1

120°

Explanation:

sum of angles on adjacent sides= exterior angle

x= 76+44 = 120

Answer 2

Question : -

• Find the value of x .

Given : -

• Angle 1 = 44°

• Angle 2 = 76°

• Angle 3 = Not given we can assume it as y°

• Angle 4 = x°

To Find : -

• We have to find the value of x .

Concept : -

The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .

Solution : -

Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :

• 44° + 76° + y° = 180°

• 120° + y° = 180°

• y° = 180° - 120°

• y° = 60°

Therefore , value of angle y is 60° .

Now , we are finding the value of x :

As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :

• 60° + x° = 180°

• x° = 180° - 60°

• x° = 120°

Therefore, value of angle x is 120° .

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