C: Determine the measure of the obtuse angle formed at the intersection of AV and HI

Step-by-step explanation:

A

∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore

B

∠AVM and ∠VAS are same side interior angles

and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:

C

Obtuse angle at the intersection of AV and HI, if name the intersection point O:

idk

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.