41 = 5x + 35 and 3 = 4x + 10. Find the measure of x, 21 and 22.
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Look : angle 1 + angle 3 = 180°
because it is a straight line.
Thus ;
[tex]5x + 35 + 4x + 10 = 180[/tex]
Simplification
[tex]9x + 45 = 180[/tex]
Subtract sides 45
[tex]9 x = 180 - 45[/tex]
[tex]9x = 135[/tex]
Divided sides 9
[tex] \frac{9}{9}x = \frac{135}{9} \\ [/tex]
[tex]x = 15[/tex]
So x = 15°
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angle 1 = 5x + 35°
angle 1 = 5 ( 15 ) + 35°
angle 1 = 75° + 35°
angle 1 = 110°
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angle 1 + angle 2 = 180°
110° + angle 2 = 180°
Subtract sides 110°
angle 2 = 180° - 110°
angle 2 = 70°
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And we're done...♥️♥️♥️♥️♥️