Question

What is the value of x?



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x =

Two lines slightly inclined with vertical intersect at the midpoint. The left and right angles made by these lines are obtuse. The right obtuse angle is labeled left square bracket 5 left parenthesis x minus 4 right parenthesis right square bracket degrees. The left obtuse angle is labeled left parenthesis 4 x plus 7 right parenthesis degrees.

Answer 1

The Angles (4x + 7)° and [5(x - 4)]° are pair of vertical opposite angles, whicg are equal .

therefore,

• 4x + 7 = 5(x - 4)

• 4x + 7 = 5x - 20

• 5x - 4x = 7 + 20

• x = 27°