Question

find the value x in the following figure​

Answer 1

Answer:

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Step-by-step explanation:

By linear pair

$\large135 +( \frac{x}{5} + 20) = 180 \\ \\ \large135 + ( \frac{x \times 4}{5 \times 4 } + \frac{20 \times 20}{1 \times 20} ) = 180\\ \\ \large135 + ( \frac{4x + 400}{20} ) = 180 \\ \\ \large \frac{135 \times 20}{1 \times 20} + ( \frac{4x + 400}{20} ) = 180 \\ \\ \large \frac{2700 + 4x + 400}{20} = 180\\ \\ \large 3100 + 4x = 180 \times 20\\ \\ \large3100 + 4x = 3600\\ \\ \large4x = 3600 - 3100\\ \\ \large4x = 500\\ \\ \large \: x = \frac{500}{4} \\ \\ \large \: \red {x = 125°}$