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Use rectangle ABCD with diagonal DB.Find the measure of the angle marked x.

Use rectangle ABCD with diagonal DB.Find the measure of the angle marked x.-example-1

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Answer:

x = 41°

Explanation:

A rectangle has 4 right angles, that is, each interior angle = 90°.

Therefore, the measure of the angle marked x is calculated as follows:

x + 49° + 90° = 180°

Solve for x

x + 139 = 180

Subtract 139 from each side

x + 139 - 139 = 180 - 139

x = 41°

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