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Sagot :
Step-by-step explanation:
[tex] \frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75[/tex]
Answer:
75 degrees
Step-by-step explanation:
In a parallelogram, adjacent angles always add up to 180 degrees. So, for example, A+B=180 and C+B=180.
Therefore, A+D=180.
Because we're given that angle A is (x+30) degrees and angle D is x degrees, we can plug them into the below equation:
[tex](x+30)+x=180[/tex]
Open up the parentheses
[tex]x+30+x=180\\2x+30=180[/tex]
Subtract both sides by 30
[tex]2x-30=180-30\\2x=150[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{150}{2} \\x=75[/tex]
Therefore, x is equal to 75 degrees.
I hope this helps!
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