Question

HELP ASAP I WILL MARK BRAINLEST IF CORRECT

Answer 1

Answer:

<A = 124

Step-by-step explanation:

Remark

This figure has 7 angles. Therefore it can have 5 lines drawn from 1 vertex to all the other vertexes.  That gives you 5 triangles. See the diagram below to see the result of what I have just described. The sum total of all the interior angles is  5 * 180 = 900

Equation

Add the seven given angles from your figure to equal 900

(9x - 2) + (10x + 2) + 165 + 100 + (5x + 83) + (12x + 18) + 138 = 900

Solution

Now add all the like terms on the left together.

• Terms Containing "x"s: 9x + 10x + 5x +12x = 36x
• Terms not containing "x"s: -2 + 2 + 165 + 100 + 83 + 18+ 138 = 504

So this simplifies to

36x + 504 = 900                        Subtract 504 from both sides

36x + 504 - 504 = 900 - 503    Do the subtraction

36x = 396                                   Divide by 36 on both sides

x = 396/36                                  Do the division

x = 14                                          

Answer

But you want angle A.

<A = 9x - 2 = 9*14 - 2 = 126 - 2 = 124