Hey there! I'll try to provide you with my best answer.
Answer: ∠a is 20° , ∠b is 130° and ∠c is 50°
If you see more precisely then ΔABC is a complete triangle. And we know that a triangle is 180°. So in respect to ΔABC, we know ∠A and ∠C. So ∠B remains.
∠A is 60° + 30° = 90°
∠C is 70°
∠B is 90° + 70° + ∠B = 180°
∠B + 160° = 180°
∠B = 180° - 160°
∠B = 20°
Now we know that angle a (the corner angle) is 20°. Remaining is angle b and angle c. The ones we actually have to find in the question given.
In one of the small triangle which the,"b" is.
We know ∠a is 20° and the other side is 30°. So the same formula applies again.
∠a + 30° + ∠b = 180°
20° + 30° + ∠b = 180°
∠b + 50° = 180°
∠b = 180° - 50°
∠b = 130°
Now ∠c is remaining. Well all the angles are given again so.. same!
∠c + 60° + 70° = 180°
∠c + 130° = 180°
∠c = 180° - 130°
∠c = 50°
There is another easier way to find ∠c. Line B and C is a straight line so a straight line is also 180°. We know ∠b is 130° so instead of subtracting and switching so much, we can directly subtract it from 180 because they are on a straight line.
∠b + ∠c = 180°
130° + ∠c = 180°
∠c = 180° - 130°
∠c = 50°
The answer is same at the end. Even though this is easier cause we can mentally subtract it instead of going to the triangle formula.
Note: When i show angles with capital letters and small letters, there is a difference. ∠B and ∠b is not the same thing when I wrote it. So please do not misunderstand it. The capital and small letters are clearly shown in the image you have shown.
And sorry for making it so long. I just hope you understood it clearly!! ^^
Answer:
y=2
Step-by-step explanation:
-(3y+2) -(-2y-4)=0
Distribute the minus signs
-3y -2 +2y +4 = 0
Combine like terms
-y +2 = 0
Add y to each side
-y+y +2 = 0+y
2=y
Check
-(3*2+2) -( -2*2-4) =0
-(6+2) -(-4-4)=0
-8 - (-8) =0
-8+8 =0
0=0
Answer:
x=-7
Step-by-step explanation:
8x - 2 = -11 + 7x + 2
First, separate the terms: move x to one side
subtract 7x from both sides
8x -7x - 2 = -11 + 7x -7x + 2
x - 2 = -11 + 2
Now get x by itself by adding 2 to both sides
x - 2 +2 = -11 + 2 +2
x = -11 + 4
simplify
x = -7
you're welcome
Answer:
8.45 is the answer
Step-by-step explanation:
Hope it helps you
C is the awnser to that question