Answer:
see explanation
Step-by-step explanation:
A property of a parallelogram is opposite angles are congruent, hence
(a)
∠PMN = ∠LON = 79°
(b)
∠NPM = 180° - (79 + 34)° = 180° - 113° (sum of angles in a triangle is 180 )
∠NPM = 67°
∠LPN = 180° - 67° ( straight angle ), hence
∠LPN = 113°
The set of parallel lines in a quadrilateral leads to the parallelogram.
<h3>What is a quadrilateral?</h3>
Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Line M
x - y + 3 = 0,
y = x + 3
m = 1
Line L
y = x - 2,
m = 1
Line N
y = -1/2x + 5,
m = -0.5
Line P
x+2y+12=0
y = -x/2 - 6
m = -0.5
Here we can see that the slope of line M and L are equal and slope of line N and P are equal.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Hence, the set of parallel lines in a quadrilateral leads to the parallelogram.
Learn more about lines ;
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I think you mean circumference.. So follow these steps:
Firstly the circumference of a circle is
r= radius
if the diameter is 120m, the radius is half which is 120 divided by 2. It gives 60m
Next, multiply 2 by
and 60
It results to 377meters
hope you understand!
Factor by grouping because there are 4 Terms