Question

HELP ME PLEASE I NEED HELP

Answer 1

Answer:

50°

Step-by-step explanation:

50 + (3x + 14) + (7x - 4) = 180

50 + 3x + 14 + 7x - 4 = 180

60 + 10x = 180

10x = 180 - 60

10x = 120

x = 120/10

x = 12

So, Angle A is:

(3 * 12) + 14

36 + 14 = 50°

Answer 2

Answer:

a.) $x=12$

b.) $A=50$

Step-by-step explanation:

a.) Remember: the sum of all angles in a triangle will always be 180°.

Make an equation in which all given angles add up to 180:

∠1+∠2+∠3=180

$(3x+14)+(7x-4)+50=180$

Solve the equation for the value of x. Remove the parentheses:

$3x+14+7x-4+50=180$

Combine like terms:

$(3x+7x)+(14-4+50)=180\\\\10x+60=180$

Subtract 60 from both sides:

$10x+60-60=180-60\\\\10x=120$

Divide both sides by 10:

$\frac{10x}{10}=\frac{120}{10} \\\\x=12$

The value of x is 12.

b.) Insert the value of x into the given value of ∠A:

$A=3x+14\\\\A=3(12)+14$

Simplify multiplication:

$A=36+14$

Add:

$A=50$

∠A is 50°.

:Done

Check Your Work:

To make sure the given values are true, solve for ∠B:

$B=7(12)-4\\\\B=84-4\\\\B=80$

Now add all angle values to determine if they add up to 180°:

$50+50+80=180\\\\100+80=180\\\\180=180$

Since 180 is equal to 180, the values are true.