Question

M∠2 = 4x + 4 and m∠1 = 5x − 2. Find x.

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Answer 1

x = 6

Explanation:

angles 1 and 2 are equal because the entire angle is bisected

so, 5x - 2 = 4x + 4

x - 2 = 4

x = 6

If you substitute 6 into each expression, they should be equal:

4(6) + 4 = 5(6) - 2

24 + 4 = 30 - 2

28 = 28