Question

Solve for c, if ∠EHG=201
∘


Please help and explain !

Answer 1

c=5°

Explanation:

So, we know there are 360° in a circle. Therefore, we know that ∡EHG+EHF+∡FHG=360.

Since we already know that ∡EHF=-4c+103, ∡EHG=201, and ∡FHG=-2c+86, we can simply plug it in. This results in the equation 201-4c+103-2c+86=360. Then, we can just solve.

`201-4c+103-2c+86=360\\-6c+390=360\\-6c=-30\\c=5`

Just in case, we can also check.

`-4(5)+103=-20+103=83\\-2(5)+86=-10+86=76\\201=201\\201+76=277, 277+83=360`