Answer:
a.Corresponding angles
b.Alternate exterior angles
c.Consecutive interior angles
Step-by-step explanation:
a.
are corresponding angles.
- Two angles on the same side of the transversal either below or above of the two lines are corresponding angles.
b.
are alternate exterior angles.
- Pair of angles in which one arm of each of the angles lies on opposite sides of the transversal.
c.
are consecutive interior angles.
Consecutive interior angles are also called co-interior angles.
- Angles which are lying on the same side of a transversal cutting across the the two lines which are parallel.
So the pair of
are corresponding angles the pair of
are alternate exterior angles,the pair of
are consecutive interior angles.
Answer: BO:OD = 1:2
Step-by-step explanation:
Here, ABCD is parallelogram, point M is the midpoint of the side BC , point O is the intersection point of the segment AM and diagonal BD.
Let N is the mid point AB ⇒ AN=NB or 2.BN=DC. ( because AB=DC)
And join Points N and C. (by construction)
Then, In triangles NOB and DOC,
∠NOB=∠DOC ( vertically opposite angles)
And, ∠OBN = ∠ODC ( By the property of interior alternative angles by same transversal)
Thus, By the property of similarity,

Therefore,
= 
Answer:
p = 2
q = 6
r = 16
x = 5 feet
Step-by-step explanation:
The perimeter of the rectangle is

In your case,
Width = 3 feet
Length = x feet
So, the perimeter is

Since the perimeter is 16 feet, we have

Hence,
p = 2
q = 6
r = 16
Solve this equation for x:

Answer:
b
Step-by-step explanation: