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Angle ABD and angle BDE are supplementary. Find the measures of both angles. m angle ABD =5x degrees, m angle BDE = (17x-18)degrees
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Angle ABD and angle BDE are supplementary. Find the measures of both angles.

m angle ABD =5x degrees, m angle BDE = (17x-18)degrees

User Timur Gilauri
by
7.5k points

1 Answer

4 votes
By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9

∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°
User Andrey Glazkov
by
8.2k points
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