Answer:
<h3>B. 40</h3>
Step-by-step explanation:
If line ps intersecting with line qr at point t as shown, then ∠ P T Q = ∠RTS (oppositely directed angle)
Given
PTQ is x + 28
RTS is 2x + 16
Since they are both equal, then x+28 = 2x+16
collect like terms
x-2x = 16-28
-x = -12
multiply both sides by -1
-1(-x) = -1(-12)
x = 12
Since ∠ P T Q = x+28, substitute x = 12 into the function
∠ P T Q = 12+28
∠ P T Q = 40
Hence measure of ∠ P T Q is 40°
Answer:
WX = 4/2 or 2/1
XY = 3/2
YZ = 4/1
WZ = 3/3 or 1
Step-by-step explanation:
Find the rise over run of each dot by counting how many boxes it goes up or down. Then how many boxes it moves to the side.
Answer:
Step-by-step explanation: 3+2=5 and 2+4=6 so 56 is your answer just like 32+24
Answer:
Given:
,
,
,
formed by two intersecting segments.
In the given figure;
Linear pair states that a pair adjacent angle formed when two lines intersect.
Then by definition of linear pairs,
and
forms a linear pair
Also,
and
forms a linear pair.
Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).
Then by linear pair postulates;

and

Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.
then by substitution property of equality:

Addition property of equality states that:
if x =y, then x + z = y+ z
By addition property of equality:
hence proved!