Answer:
4. H
5. A
6. H
Explanation:
For 4
Supplementary angles have a sum of 180
so 3x + 96 = 180
now we just use basic algebra to solve for x
step 1 subtract 96 from each side
180 - 96 = 84
now we have 84=3x
step 2 divide each side by 3
3x/3=x
84/3=28
we're left with x = 28
so the answer to #4 is H
For 5
Remember the sum of the angles in a triangle is 180
So we can calculate the missing angle by subtract the given angles (90 and 66 in this case) from 180 NOTE: ( the 90 came from the little square at the bottom right of the triangle. This square indicates that the angle is a right angle and a right angle has a measure of 90 degrees)
so x = 180 - 90 - 66
180 - 90 = 90
90 - 66 = 24
so we can conclude that x = 24 and the answer is A
For 6
Angle 2 and angle 4 are vertical angles
If you didn't know vertical angles are congruent
SO if one angle equal 120 degrees the other angle also equal 120 degree therefore the answer to number 6 is H