Answer:
x = 125
Step-by-step explanation:
Ok so we already established that AIA are congruent. So two angles will equal 55 degrees. All angles in a parallelogram add up to 360 degrees, and there are two pairs of matching angles opposite of each other.
So we take the two 55 degree angles and subtract them from 360:
360-110 = 250
Now there are two identical angles left, one of them is x, that equal a total of 250, so divide by two:
250/2
=125 degrees
Answer:
3/4
Step-by-step explanation:
Answer:
Given
This is our initial premise.
2) Linear pairs of angles are supplementary
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
3)
m
∠
A
B
C
+
m
∠
C
B
D
=
180
∘
The definition of supplementary angles is that two angles are supplementary if their measures sum to
180
∘
.
4) Substitution of 1. into 3.
As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.
5)
m
∠
A
B
C
=
90
∘
Subtracting
90
∘
from each side of 4. gives us the above result.
6) Definition of right angle
Step-by-step explanation:
Answer:
The option is D
Step-by-step explanation:
Given
put we get
Similarly,
put we get
put we get