ppdhh ppdhh
  • 26-01-2022
  • Mathematics
contestada

The diagram shows a parallelogram.
2x
3х - 15

(2x+24
2x
Work out the value of x.

The diagram shows a parallelogram 2x 3х 15 2x24 2x Work out the value of x class=

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Hrishii
Hrishii Hrishii
  • 26-01-2022

Answer:

x = 39

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.

[tex] \implies \: 2x \degree + (2x + 24) \degree = 180 \degree \\ \\ \implies \: (2x + 2x +24) \degree = 180 \degree \\ \\ \implies \: (4x +24) \degree = 180 \degree \\ \\ \implies \: 4x +24 = 180 \\ \\ \implies \: 4x = 180 - 24 \\ \\ \implies \: 4x = 156\\ \\ \implies \: x= \frac{156}{4} \\ \\ \implies \: \huge \: x = 39\\ \\ [/tex]

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