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Angle ABC is a straight angle.The measure of angle ABD is 65°.The measure of angle DBC is x°.What is the value of x?

Question

Angle ABC is a straight angle.The measure of angle ABD is 65°.The measure of angle DBC is x°.What is the value of x?

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Solution

A straight angle is 180°. If angle ABD is 65°, then the remaining angle DBC is the total of the straight angle minus the given angle.

So, we calculate it as follows:

180° (total degrees in a straight angle) - 65° (angle ABD) = 115°

Therefore, the value of x, which represents the measure of angle DBC, is 115°.

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