If one angle is 24∘24 ∘ less than twice the smaller angle in a parallelogram, then the smaller angle is ________

Question

If one angle is 24∘24 ∘ less than twice the smaller angle in a parallelogram, then the smaller angle is ________
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Solution 1

In a parallelogram, the sum of two adjacent angles is 180 degrees. Let's denote the smaller angle as x. According to the problem, the larger angle is 2x - 24.

So, we can set up the equation:

x + 2x - 24 = 180

Solving this equation will give us the value of x, which is the smaller angle.

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