Question

The measure of two angles of a quadrilateral are 105 and 45 and the other two angles are equal.Find the measure of each of the equal angles.

Answer 1

let x be the tow angle because both are equal.

we know that sum of all the angle of quadrilateral is 360°

now according to question.


x+x+105°+45°=360°

2x+150° = 360°

2x = 360°-150°

2x = 210°

x = 105 degree



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Answer 2

let other angle be x and two angles be 2x
angle1 + angle2 +angle 3 + angle 4 = 360 degree
105 + 45 + x + x =360 degree
150 + 2x =360 
2x =360 - 150 
2x = 210
x =105