Question

Do question 14 plz if u do it thanks sooooooo much I keep on getting a decimal answer that is WRONG

Answer 1

shoot no clue tbh what grade is thisss lol

Answer 2

Answer: 57 degrees

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Explanation:

A is complementary to B, so A+B = 90. Similarly, B+C = 90 (since C is complementary to B).

A+B = 90

(3x+y)+(x+4y+2) = 90 ... substitution

4x+5y+2 = 90

4x+5y = 90-2

4x+5y = 88

Now let's set up another equation and solve for x

B+C = 90

(x+4y+2)+(3y-3) = 90 ... substitution

x+7y-1 = 90

x = 90+1-7y

x = 91-7y

Go back to the first equation and plug in x = 91-7y. Solve for y.

4x+5y = 88

4(x)+5y = 88

4(91-7y)+5y = 88 ... replace x with 91-7y

364-28y+5y = 88

364-23y = 88

-23y = 88-364

-23y = -276

y = -276/(-23)

y = 12

Now that we know the value of y, we can use it to find x

x = 91-7y

x = 91-7(12) ... replace y with 12

x = 91-84

x = 7

So the x and y values are x = 7 and y = 12. We'll use both of these values to compute the measure of angle B

Angle B = (x+4y+2) degrees

Angle B = (7+4*12+2) degrees

Angle B = (7+48+2) degrees

Angle B = 57 degrees