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if mLABD = 84, what are mL ABC and LDBC? D7

if mLABD = 84, what are mL ABC and LDBC? D7

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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i have been having trouble with these type of equations. I don’t understand how you solve them. I copied an answer from one of my HW assignments in which they have the step by step to get your answer, but again i don’t really understand how they are able to get to that conclusion. Im not sure if they multiple, add, subtract, etc. I think the (x) is where i really get confused, for example (3x+5) most of the time it equals to a higher number and im not sure what type of way you’re supposed to solve these type of problems. If someone can help me understand in a detailed way how you get the answers for these equations it’d be so much helpful!!
if mLABD = 84, what are mL ABC and LDBC? D Banuieſ (4x+4). B use the fact that the two angles form LABD and the angle addition postulate to write an equation to solve for x. The angle addition postulate states that if p is in the interior of LXyz, then mLXYP + Lpyz = mLXYZ the Angle postulate to write an equation MLABC +MLDBC = MLABD ( 7x-8) + (4x + 4) = 84° ← Substitute use now solve the equation for x, (7x-8) + (4x+4)=84 11x -4 = 84 11x=88 x=8 combine like terms add 4 to both sides divide both sides by 11 now use the value of x to evaluate the expressions for the measures of LABC and LDBC Substitute 8 for x in the expression for MLABC and simplify m LABC= (7x-8). = (7(8)-8) Substitute. =48° Simplify. Substitute for x in the expression mLDBC and simplify MLD BC = (4x+4). = (4(8)+4) Substitute = 36° simplify therefore, ML ABC = 48° and McDBC=36 for
Transcribed Image Text:if mLABD = 84, what are mL ABC and LDBC? D Banuieſ (4x+4). B use the fact that the two angles form LABD and the angle addition postulate to write an equation to solve for x. The angle addition postulate states that if p is in the interior of LXyz, then mLXYP + Lpyz = mLXYZ the Angle postulate to write an equation MLABC +MLDBC = MLABD ( 7x-8) + (4x + 4) = 84° ← Substitute use now solve the equation for x, (7x-8) + (4x+4)=84 11x -4 = 84 11x=88 x=8 combine like terms add 4 to both sides divide both sides by 11 now use the value of x to evaluate the expressions for the measures of LABC and LDBC Substitute 8 for x in the expression for MLABC and simplify m LABC= (7x-8). = (7(8)-8) Substitute. =48° Simplify. Substitute for x in the expression mLDBC and simplify MLD BC = (4x+4). = (4(8)+4) Substitute = 36° simplify therefore, ML ABC = 48° and McDBC=36 for
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