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SIZIF [17.4K]
3 years ago
6

PLEASE HELP THE QUESTION IS BELOW!!

Mathematics
2 answers:
irina [24]3 years ago
8 0

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.  

KonstantinChe [14]3 years ago
6 0

Answer:

<h2>146°</h2>

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!!

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