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riadik2000 [5.3K]
3 years ago
9

In the figure, ∠6 is an exterior angle to (square) AUL.

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

<h3>Part A</h3>
  • ∠6 + ∠3 = ∠PAL - angle addition
  • ∠PAL = 180° - straight angle
  • ∠6 + ∠3 = 180° - substitution
  • ∠6 = 180° - ∠3           (1)

ΔAUL has

  • ∠1 + ∠2 + ∠3 = 180° - property of triangles
  • ∠1 + ∠2 = 180° - ∠3     (2)

<u>(1) and (2) have RHS same, therefore LHS also same:</u>

  • ∠6 = ∠1 + ∠2
<h3>Part B</h3>
  • ∠6 = ∠1 + ∠2 - given

<u>Substitute measures</u>

  • ∠6 = 52° + 33°
  • ∠6 = 85°

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Solve :<br><br> 5x - 7y = 12<br><br> 5y - 2x = - 7
Afina-wow [57]
There is one solution:

use elimination method

5x - 7y = 12
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this give you
 10x - 14y =24 
-10x+25y = -35                    add down
-----------------------------
        11y = - 11                    x is eliminated to find y value
           
            y = -1                         input to one of the original equations

5(-1)  - 2x = -7

-5  - 2x = -7
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-2x = -2
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your coordinates for when they intersect is at (1, -1)
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