Question

In a parallelogram, if one of the interior angle is equal to 65 degree ,the adjacent angle is ​

Answer 1

Step-by-step explanation:

As we know that a parallelogram has opposite angles are equal.

If a angle is 65° then its opp. angle will be 65°.

• 65°+ X +65° + x = 360°
• 130° + 2x = 360°
• 2x = 360° - 130°
• 2x = 230°
• x = 230°/ 2
• x = 115°

therefore, the adjacent angle is 115°

Answer 2

Answer:

In a parallelogram, if one of the interior angle is equal to 65 degree ,the adjacent angle is ​

115 degree

Step-by-step explanation:

• In given question, we are given that there is a parallelogram and one of the interior angle of this parallelogram is given to be 65 degree.

• We have to find the adjacent angle of this parallelogram whose interior angle is 65 degree.
• For knowing adjacent angle we have to follow the rules and properties of parallelogram.

• According to the one of the property of parallelogram- Opposite angles in a parallelogram are always equal.
• As we know there are 4 angles in a parallelogram. Let the parallelogram be ABCD were angle A is given to be 65 degree.
• So according above mention property Angle C will be also 65 degree. And angle B and angle D will be equal.
• Addition of all angles in parallelogram is 360 degree, there fore  -

$65^{0}+ 65^{0}+ B+ D= 360^{0}\\130^{0}+ B+B= 360^{0}\\ 130^{0}+ 2B= 360^{0}\\ 2B= 360^{0}- 130^{0}\\ 2B= 230^{0} \\B=\frac{230^{0} }{2} \\B= 115^{0}$

Angle B and Angle d are 115 degree.

Hence, the opposite angle of whose interior angle is 65 degree is 115 degree.