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Consecutive angles in a parallelogram are supplementary. What is the value of x?

I’ll give you brainly pls I really need the answer

Consecutive angles in a parallelogram are supplementary What is the value of x Ill give you brainly pls I really need the answer class=

Respuesta :

Step-by-step explanation:

HERE,

[tex]\angle{PQR=20+2x }[/tex] ⠀

[tex]\angle{ QRS=6x }[/tex] ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

[tex]\angle{PQR}+\angle{QRS}=180[/tex] ⠀

[tex]\tt{20+2x+6x=180 }[/tex] ⠀

[tex]\tt{8x+20=180 }[/tex] ⠀

[tex]\tt{8x=180-20 }[/tex] ⠀

[tex]\tt{8x=160 }[/tex] ⠀

[tex]\tt{x=\dfrac{160}{20} }[/tex] ⠀

[tex]\tt{ x=20 }[/tex] ⠀

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