The angle relationship and their reasons are:
- m∠HED = m∠FEJ ---> Vertical angles theorem
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
- m∠LFG + m∠GFK = 180 ---> linear pair
The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
- m∠HED = m∠FEJ ---> Vertical angles theorem
∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
- m∠LFG + m∠GFK = 180 ---> linear pair
Learn more about angle relationship on:
brainly.com/question/12591450
Both elevations or numbers are already expressed as a
rational number. This is because a rational number is defined as a number that
can be expressed as a quotient or fraction of two numbers:
p / q
Since in this case, q may be equal to 1, then both are
rational numbers.
Answer:
y= -7
Step-by-step explanation:
So first distribute the 8
4=8y+32-4y
now combine like terms (the -4y+8y)
4=32+4y
Subtract 32 on both sides to isolate 4y
-28=4y
now divide 4 on both sides to isolate Y
-7=y
so y= -7
Answer:
(-8)x(-8)=64
Step-by-step explanation:
(-8)²
(-8)x(-8)=64
Answer:
You have box 0 correct. The arrow goes in box 1. The square goes in box 4. And the rectangle goes in box 2.
Step-by-step explanation:
