The angle M of the parallelogram is; ∠ M = 145°
<h3>What are angles in a parallelogram?</h3>
In a parallelogram, there are four angles with angles on the same line summing up to 180°.
Now, we are told that angle J is 35°. But angle M is on the same line as that of angle J and as such;
∠J + ∠ M = 180°
35° + ∠ M = 180°
∠ M = 180° - 35°
∠ M = 145°
Read more about angles in a parallelogram at; brainly.com/question/11627202
We have m(<CBO) = (1/2) · m(<CBE) = (1/2) · ( x + z );
In the same way, m(<BCO) = (1/2) ·( x + y);
m(<BOC) = 180 - [(1/2) · ( x + z ) + (1/2) ·( x + y)] = 180 - (1/2)· ( x + x + y + z );
But, x + y + z = 180;
Then, m(<BOC) = 180 - (1/2)·( x + 180 );
Finally, m(<BOC) = 90 - (1/2)·x;
So, m(<BOC) = 90 - (1/2)·m(<BAC).
Answer:
f = 4d -400
Step-by-step explanation:
First, let's make some variables.
f = size of Falls Lake
d = size of Lake Drummond
d = (1/4)*f + 100
We can now rearrange the equation to find the size of Falls Lake.
d - 100 = (1/4)*f
4d - 400 = f
f = 4d - 400
