Answer:
various angles can be formed when two parallel lines are cut by a transverse line. They are :
i. Alternate Angles
ii. Corresponding angles
iii. Co interior angles
Step-by-step explanation:
i. Alternate angles are equal. In the given figure x and y are alternate angles where x=y. Similarly, w and v are also alternate angles and they are also equal in magnitude.
ii. Corresponding angles are also equal. In the given figure, a and y are corresponding angles where a=y. Similarly, b and v, w and c, x and d are corresponding angles and they are equal in value.
iii. The sum of co-interior angles is 180 degrees. In the given figure, v and x are co-interior angles where x+v= 180 degrees. Similarly, w and y are also co-interior angles and their sum is also 180 degrees.
These are the angles formed when two parallel lines are cut by a transversal line. The figure is in the attachment. You can find it there.
Complete Question:
The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.
Answer:
Step-by-step explanation:
Given
Shape: Parallelogram DGRY
Dimension:
Required
Find the measure of each angle
D and R are opposite sides & G and Y are also opposite sides.
So, we have:
and
The sum of angles is given as:
Substitute values for
Take LCM
Multiply both sides by
So:
Hence:
Hey there! :)
Answer:
(3.5, -1).
Step-by-step explanation:
Use the midpoint formula to solve this problem:
Plug in the coordinates given:
Simplify:
Therefore, the coordinates of the mid-point are:
(3.5, -1).