find each angles of a p arallelogram if two consecutive angles are in ratio 1 is to 3
Answers
If they are two consecutive angles then they are supplementary angles
So 1 isto 3 , means x isto 3x
x + 3x = 180°
4x=180°
x = 180/4
x = 45°
1x = 45°
3x = 45×3=135°
Since opposite angles in a parallelogram are equal
so angles in a parallelogram are
45°, 135°, 45°, 135°
Hope so this helps you
Please mark as brainliest answer
Answer:
45, 135 , 45, 135
Step-by-step explanation:
let angle be x
_____________
/ x y /
/ /
/3x__________z/
from here..., we know that sum of adjacent angle is 180.
so , x+3x =180
4x = 180
x = 45
and 3x = 135
we know that opposite angles of parallelogram are equal .
so,. x = z and 3x = y.
so value of x , y ,z, 3x = 45, 135, 45 ,135 respectively.