Question

23. Find all the angles of a parallelogram if one angle is three times another.​

Answer 1

Answer:

45, 135, 45 , 135

Step-by-step explanation:

Opposite angles of a parallel are equal to each other.

So, if two angles are x  

 each, then the other two opposite angles are 3x  

, since it is given that one angle is three times the other.

Sum of all four angles of a parallelogram =360

x+ 3x+x +3x = 360

8x=360

x=45 degrees

hence the angles would be

x=45

3x= 3*45= 135

x=45

3x= 3*45=135

hope it helps....