IDNLearn.com connects you with experts who provide accurate and reliable answers. Discover reliable and timely information on any topic from our network of knowledgeable professionals.
Sagot :
Answer:
4 a + 2b = 360 ----->equation 1
a + b = 116 --------> equation 2
a = 64 °
b = 52°
Step-by-step explanation:
The sum of all of the internal angles would be 360°. Since we have four "a"s and two "b"s, we have:
4a + 2b = 360
Then told that the largest internal angle of the parallelogram is 116 degrees, so:
a + b = 116
We now have a system of two equations and two unknowns.
I'll simplify the first equation by dividing both sides by 2, then multiplying the second equation by -1 to prepare for solving by elimination:
2a + b = 180
-a - b = -116
---------------------- Add the equations together to get:
a = 64°
Now we can solve for b:
a + b = 116
64 + b = 116
b = 52°
So the values of "a" and "b" are:
a = 64° and b = 52°
Hope this helped :)
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.
