How do you solve this geometry problem:?
In the problem you provided, since <ABD and <BDE are complementary, their angle measures add up to 90. So, (5y+1)+(3y-7)=90. Solve this equation and you find that y=12. Plug this value back in to each expression and you find that m<ABD is equal to 61 and m<BDC is equal to 29. 61+29=90.
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About Geometry
Geometry is the branch of mathematical science that studies the properties of space. Euclidean Geometry is named after Euclid, who systematized Geometry in the 3rd century BCE.
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