math problems that I’m suck on?
1. Find the measure of angle ABD if the measure of angle ABC=57, the measure of angle ABD is represented by 2x-1 and the measure of angle DBC is represented by 5x+2. Angle A B and C contain ray B D Angles A B D and D B C are adjacent
A) 7
B) 8
C) 15
D) 42
2. What is the measure of angle DBC if the measure of angle ABD is represented by 2x, the measure of angle DBC is represented by 5x and the measure of angle ABC is 91 degrees? Angle A B and C contain ray B D Angles A B D and D B C are adjacent
A)7
B) 13
C) 26
D) 65
3. Find the measure of angle ABD if the measure of angle DBC is 16 degrees and the measure of angle ABC is 89 degrees.Angle A B and C contain ray B D Angles A B D and D B C are adjacent
A) 44.5 degrees
B)105 degrees
C) 52.5 degrees
D) 73 degrees
Favorite Answer
ABC=57
DBC=5x+2
A…D
|…/
|./
B—C
You will have to draw the diagram, but
ABC=ABD+DBC
57 = 2x-1 + 5x+2
57 = 2x+5x + -1+2
57 = 7x + 1
56 = 7x
8=x
ABD=2x-1=2(8)-1=16-1=15
2. same diagram, different numbers…
ABD=2x
DBC=5x
ABC=91
ABC=ABD+DBC
91 = 2x + 5x
91 = 7x
13 = x
DBC=5x=5(13)=65
again same diagram…
DBC=16
ABC=89
ABC=ABD+DBC
89 = ABD +16
73 = ABD
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