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

127.5

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