Question

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

Answer 1

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)

$(2x+7)+(6x-9)=180^{o}$

add the angles together

$\therefore 8x-2=180$

add 2 to both sides

$\therefore 8x=182$

divide out by 8

$\therefore x = 22.75$

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

$angle A = 2x+7$

$\therefore \angle{A} = 2(22.75)+7$

$\therefore \angle{A} = 45.5+7$

$\therefore \angle{A} = 52.5$

$angle B = 6x-9$

$\therefore \angle{B} = 6(22.75)-9$

$\therefore \angle{B} = 136.5-9$

$\therefore \angle{B} = 127.5$

$\angle{B}>\angle{A}\ \because\ 127.5>52.5$

so the answer would be 127.5