Answer:
4. Option A is correct.
7. Option C is correct.
8. Option A is correct.
11. Option B is correct.
12. Option C is correct
Step-by-step explanation:
4.
The sides of equilateral triangle are same.
It is given that lengths of the sides are 9, 9, and 9.
Since the side lengths are same, therefore the given triangle is an equilateral triangle.
Option A is correct.
7.
It is given that the line a is parallel to line b and the measure of angle 7 is 135 degree.
[tex]\angle 6+\angle 7=180^{\circ}[/tex] (Supplementary angles)
[tex]\angle 6+135^{\circ}=180^{\circ}[/tex]
[tex]\angle 6=45^{\circ}[/tex]
[tex]\angle 4=\angle 6[/tex] (Alternative interior angles)
[tex]\angle 4=45^{\circ}[/tex]
Option C is correct.
8.
[tex]x-3=65[/tex] (Corresponding angles)
[tex]x=68[/tex]
[tex]46+65+y-3=180[/tex] (Supplementary angles)
[tex]y=72[/tex]
Option A is correct.
11.
If a transversal line intersect two lines are parallel lines, then their corresponding angles are same.
It is given that
[tex]\angle 1=\angle 2[/tex]
Since angle 1 and 2 are corresponding angles, therefore we can say that the lines a and b are parallel.
Option B is correct.
12.
[tex]x-1=63[/tex] (Corresponding angles)
[tex]x=64[/tex]
Option C is correct.