Solution:
Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.
These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:
Notice that together they make a straight angle.
Hence,
From the image
The following pairs form vertical angles
![\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle1%3D%5Cangle3%28vertical%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle2%3D%5Cangle4%28vertical%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle5%3D%5Cangle7%28vertical%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle6%3D%5Cangle6%28vertical%5Ctext%7B%20angles%29%7D%20%5Cend%7Bgathered%7D)
Hence,
One pair of the vertical angles is ∠1 and ∠3
Part B:
Two angles are said to be supplementary when they ad together to give 180°
Hence,
From the image,
The following pairs are supplementary angles
![\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle5%2B%5Cangle6%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle5%2B%5Cangle8%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle7%2B%5Cangle8%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle6%2B%5Cangle7%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle1%2B%5Cangle2%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle1%2B%5Cangle4%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle2%2B%5Cangle3%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle3%2B%5Cangle4%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5Cend%7Bgathered%7D)
Hence,
One pair of supplementary angles is ∠5 and ∠6
Answer:
The total cost y of a meal.....
Step-by-step explanation:
The total cost of the meal Y suggests addition, which if you added the x and w portions, you would end up with y.
The other answers suggest subtraction, division, or multiplication, which is not being illustrated by the model.
Answer:
Step-by-step explanation:
the answer was 0.2
The other 6 books can be arranged in 6 ways
= 6*5*4*3*2*1 = 720 ways answer
Answer:
49.1 cm^2
Step-by-step explanation:
The appropriate area formula is ...
area = (1/2)(side 1)(side 2)(sin(angle between))
= (1/2)(10 cm)(12 cm)·sin(55°) = 60·sin(55°) cm^2
area ≈ 49.1 cm^2