Question

PLEASE HELP THE QUESTION IS BELOW!!

Answer 1

Answer:

Step-by-step explanation:

B=3x-2

C=12x+2

D=B=3x-2 (Vertically opposite angles)

A=?

Now; we know, A+B+C+D=360 deg.

=>A=360-(B+C+D)

  =360-(3x-2+12x+2+3x-2)

  =360-(18x-2) ----[1]

B+C=180 deg. (linear pair)

=> 3x-2+12x+2=180

=> 15x=180

=> x=180/15

   =12 ---[2]

subsitute [2] in [1];

=> A= 360-(18x-2)

   = 360-(18*12-2)

   = 360-(116-2)

   = 360-214

   = 146 deg.

   

So, the correct answer is (D).

Hope the answer is useful.  

Answer 2

Answer:

146°

Step-by-step explanation:

Given,

< B = 3x - 2

<C = 12x + 2

Let's find the value of X

<B + < C = 180° ( sum of angle in straight line)

plug the values

$3x - 2 + 12x + 2 = 180$

Collect like terms

$15x - 2 + 2= 180$

Since, two opposites add up to zero, remove them from the equation

$15x = 80$

Divide both sides of the equation by 15

$\frac{15x}{15} = \frac{80}{15}$

Calculate

$x = 12$

Replacing value,

<C = 12x + 2

plug the value of X

$= 12 \times 12 - 2$

Multiply the numbers

$= 144 + 2$

Calculate the difference

$= 146$

The measure of <C is 146°

Here,

<A = < C ( being vertically opposite angles)

Vertically opposite angles are always equal.

<A = 146

Hence, Option D is the correct answer.

Hope this helps...

Best regards!!