Solve for x. round to 2 decimal places

x = 24.75

We have to assume that the lines that look parallel are parallel. The transversal gives rise to 8 angles. Here, two of them are given measures: 4x° and 99°. These two angles are "alternate interior" angles, meaning they're between the parallel lines on opposite sides of the transversal.

Such angles have equal measures, so we know ...

... 99° = 4x°

... 99/4 = x = 24.75 . . . . . . divide both sides of the equation by 4°

Comment on the problem

Usually, it is a bad idea to assume things are as they appear in a geometric figure in a problem such as this. (You will note that the angle marked 99° appears to be an acute angle, not an obtuse angle.) One would expect the parallel lines to be marked as having the same direction. Without assuming the lines are parallel, the problem has no solution.

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