Question

One angle of a quadrilateral is 114° and the remaining three angles are equal. Then, the measure of
each of the three angles is
Option1 - 78
option2 - 82
option3 - 80
option4 - 86​

Answer 1

Answer:

82

Step-by-step explanation:

Let the three angles each be equal to x

We know that, the sum of all the angles in a quadrilateral is equal to 360

So, 114 + x + x + x = 360

114 + 3x = 360

3x = 360-114

3x = 246

x=246/3

x=82

Answer 2

Answer : The correct answer is option 2 The each of three angles are 82° Step-by-step Explanation : Given : One angle of Quadrilateral is 114° To find : The other three angles of Quadrilateral = ? According to given conditions, The Remaining three angles of Quadrilateral are Equal. So let the each of the three angles be 'x' We know that, Sum of all the Internal angles of Quadrilateral is 360° Therefore, 114° + x + x + x = 360° 114° + 3x = 360° 3x = 360° - 114° 3x = 246° x = 246/3 x = 82° Hence the each of three angles are 82°