Question

Screenshot below please help!

Answer 1

the sum of the interior angles of a triangle is 180 degrees

a right angle is 90 degrees

you can solve for x, and then go back and determine the individual angle measures before comparing them

Answer 2

I know its either answer C or D because x is a right angle which is 90 degrees

Answer 3

Which means that the other angles must add up to 90 degrees together

Answer 4

But how do I solve for x?

Answer 5

2x+1+2x+9 = 90

solve for x

add up like terms
4x+10=90

Answer 6

Ok thank you

Answer 7

you know what to do from here?

Answer 8

yes, x= 20 right?

Answer 9

Then I plug it in

Answer 10

yea, now figure out the respective angles by putting x in for the other angles

Answer 11

yes

Answer 12

Thanks for the help!

Answer 13

It was possible to do this problem without knowing x right?

Answer 14

the sum of interior angles would actually be
2x+1 +2x+9+90=180

but you already subtracted 90 from the whole thing leaving
2x+1+2x+9=90

Answer 15

uhhh, yea

by recognizing 2x+1 < 2x+9

Answer 16

since 1<9

Answer 17

Yeah I understand.

Answer 18

and the 2 angles must be less than 90 degrees