Answer:
W=9
Step-by-step explanation:
45=9(w-4)
45=9w-36
+36. +36
81=9w
81÷9=9w÷9
9=w
Answer:
55 degree
Step-by-step explanation:
ABC is 110 degree
According to question,
ABD= 1/2 * ABC
ABD= 1/2*110
ABD=55
Answer:
∠A = 166°
Step-by-step explanation:
We can imagine the parallel line to the left as a shifted version of the one on the right. As we move it further left along the line the in middle (called a <em>transversal</em>), ∠B will slide closer and closer to ∠A. Eventually, the two will totally coincide, showing that ∠B ≅ ∠A. We call ∠A and ∠B <em>corresponding angles</em>, because they can be made to perfectly overlap in that way.
Since corresponding angles are congruent, their measures must be equal, so in this example, we can say that
, and since
and
,
![7x+40^{\circ}=3x+112^{\circ}](https://tex.z-dn.net/?f=7x%2B40%5E%7B%5Ccirc%7D%3D3x%2B112%5E%7B%5Ccirc%7D)
To solve for <em>x</em>, we can subtract 3x and 40° from both sides:
![4x=72^{\circ}](https://tex.z-dn.net/?f=4x%3D72%5E%7B%5Ccirc%7D)
and divide both sides by 4:
![x=18^{\circ}](https://tex.z-dn.net/?f=x%3D18%5E%7B%5Ccirc%7D)
We can now replace <em>x </em>with 18° in our expression for ∠A to find
![\angle A = 7(18^{\circ})+40^{\circ}\\\angle A=126^{\circ}+40^{\circ}\\\angle A=166^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%20%3D%207%2818%5E%7B%5Ccirc%7D%29%2B40%5E%7B%5Ccirc%7D%5C%5C%5Cangle%20A%3D126%5E%7B%5Ccirc%7D%2B40%5E%7B%5Ccirc%7D%5C%5C%5Cangle%20A%3D166%5E%7B%5Ccirc%7D)
Answer:
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bit.![^{}](https://tex.z-dn.net/?f=%5E%7B%7D)