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yeah i kinda drug my way through this whole lesson because i was lazy and now im kinda in deep water so help pls

Yeah I Kinda Drug My Way Through This Whole Lesson Because I Was Lazy And Now Im Kinda In Deep Water So Help Pls class=

Sagot :

Answer:

127.5

Step-by-step explanation:

First, we need to find the value of x

since the two angles are connected to a straight line, their sum will be 180 (degrees)

[tex](2x+7)+(6x-9)=180^{o}[/tex]

add the angles together

[tex]\therefore 8x-2=180[/tex]

add 2 to both sides

[tex]\therefore 8x=182[/tex]

divide out by 8

[tex]\therefore x = 22.75[/tex]

now we must determine which angle has the greater value (not visually)

[tex]angle A = 2x+7[/tex]

[tex]\therefore \angle{A} = 2(22.75)+7[/tex]

[tex]\therefore \angle{A} = 45.5+7[/tex]

[tex]\therefore \angle{A} = 52.5[/tex]

[tex]angle B = 6x-9[/tex]

[tex]\therefore \angle{B} = 6(22.75)-9[/tex]

[tex]\therefore \angle{B} = 136.5-9[/tex]

[tex]\therefore \angle{B} = 127.5[/tex]

[tex]\angle{B}>\angle{A}\ \because\ 127.5>52.5[/tex]

so the answer would be 127.5