Consecutive angles in a parallelogram are always supplementary, that is they sum to 180 degrees. The angles are in a ratio of 4:11, so we can write that:
4x + 11x =180 Combine like terms
15x = 180 isolate x by dividing both sides by 15
x = 12
So the two consecutive angles are 4(12) = 48 and 11(12) = 132
Answers & Comments
Answer:
48, 132, 48, and 132 degrees.
Step-by-step explanation:
Consecutive angles in a parallelogram are always supplementary, that is they sum to 180 degrees. The angles are in a ratio of 4:11, so we can write that:
4x + 11x =180 Combine like terms
15x = 180 isolate x by dividing both sides by 15
x = 12
So the two consecutive angles are 4(12) = 48 and 11(12) = 132
Check: 48 + 132 = 180.