Question

Tell me the answer plz fast

Answer 1

Answer:

1. 28°

2. 80°

3. 126°

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Answer 2

Answer:

30.) A

31.) A

32.) C

Step-by-step explanation:

30.) Since the angles form a straight line, we can add up all the angles and it should total 180, the amount of degrees in a straight line.

40 + 2y + 3y = 180 (Combine the 'y's)

40 + 5y = 180 (Subtract 40 from both sides)

5y = 140 (Divide both sides by 5 to be left with just the value of y)

y = 28

So, the answer would be A, that y=28.

31.) Just like the previous problem, we know the angles will form a straight line, so, if we add the angles together and set it equal to 180, we can find the value of x, which will be used to find the degrees of <BOC.

2x + 30 + 2x + 10 = 180 (Simplify)

4x + 40 = 180 (Subtract 40 from both sides)

4x = 140 (Divide both sides by 4)

x = 35

Now that we know the value of x, lets plug this in for <BOC to find its true amount of degrees

2x + 10 = <BOC

2(35) + 10 = <BOC

70 + 10 = <BOC

80 = <BOC

So, the answer is A, that angle BOC is equal to 80 degrees.

32.) For starters, we know that <GED is made up of <FED and <GEF, so, we know that <FED + <GEF = <GED.

<FED + <GEF = <GED (Plug in the values we know)

90 + <GEF = 126 (Subtract 90 from both sides)

<GEF = 36

Next, we know that <GFE is equal to 90 degrees. Knowing this, we can then solve for <FGE, since we know two of the angle values for triangle GFE and since we know that the angles on a triangle total 180 degrees.

<FGE + <GEF + <EFG = 180  (Plug in the values we know)

<FGE + 36 + 90 = 180 (Simplify)

<FGE + 126 = 180 (Subtract 126 from both sides)

<FGE = 54

Lastly, since <AGE and <FGE form a straight line, we know that when added together, their total will be 180. Since we know that <FGE = 54, we know that 54 + <AGE = 180. Now, all we have to solve for is <AGE.

<AGE + <FGE = 180 (Plug in values we know)

<AGE + 54 = 180 (Subtract 54 from both sides)

<AGE = 126

So, C is correct, since <AGE equals 126 degrees.

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