Question

Find the value of x. Geometry

Answer 1

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`\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}`

Given,

< BAG = 2x°

< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]

< CAD = x°

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Value of x = ?

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From the figure we can see that,

< BAG + < BAC + < CAD = 180° (supplementary angles)

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So to solve,

`< BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = (90)/(3) \\ x = 30`

⏩ The value of x is
`\boxed{30}`

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