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In the diagram below, ∠ABD and ∠DBC together form a right angle.

In the diagram below, ∠ABD and ∠DBC together form a right angle.-example-1
User Chrisweb
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Answer:

An simplified expression to represent the sum of ∠ABD and ∠DBC is 7n + 6.

Explanation:

Since we are looking to find an expression that represents the sum of ∠ABD and ∠DBC, we simply need to add the two expressions that represent their respective angle measures and simplify. The measure of ∠ABD is 2n + 7, and the measure of ∠DBC is 5n - 1, which means that the sum of the angles can be written with the expression 2n + 7 + 5n - 1, and now combine like-terms to simplify the expression, and you'll get 7n + 6.

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User Tony Vitabile
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