In the given figure a || b and c || d.
(i) Name all the angles equal to 5. Justify the your answer
(ii) Name all angles supplementary to 8. Justify the your answer
(iii) If 4 = 1100
, then find all other angles. What all properties of parallel lines you have used
here?
Answers
Answer:
the angles equal to 5 are
1. angle 2.because it vertically opposite angle.
2.angle 7.because it is corresponding to angle 5.
3.angle 10.because it is an alternate angle .
angles supplementary to angle 8:are
1. angel 7 because angle 8 and 7 are linear pair and linear pair makes angle of 180 degree
like that angle 8 and angle 4 make angle of 180 degree
and angle 8 and angle 12 also makes 180 degree because exterior angles are supplementary.
4=2 because they are corresponding angle.
angle 2 +angle 1=180
110+angle1=180
angle1=180-110
angle1=70
angle1=angle6=70 because they are vertically opposite angle.
angle 6 +angle5=180 (linear pair)
70+ angle 5=180
angle5=180-70
angle 5=110 degree.
angle5 plus angle9=180(exterior angles are supplementary)
110+angle9=180
angle 9=180-110
angle9 =70 degree.
angle9=angle14=70 degree
because they are corresponding angle.
angle 14=angle16=70 degree
because they are corresponding angle.
angle1=angle3 =70 degree
bcoz they are corresponding angles.
angle 5=angle7=110 degree
bcoz they are corresponding angles.
angle 16=angle8 =70 degree
bcoz they are corresponding angles.
angle 5=angle10=110 degree
bcoz they are alternate angles.
angle10=angle13=110 degree
bcoz they are vertically opposite angles.
angle13=angle15=110 degree.
bcoz they are corresponding angles.
angle 14 =angle11=70 degree.
bcoz they are alternate angles.
angle 10=angle12=110degree.
bcoz they are corresponding angles.
hopes this answer helps u. plz make me as a brainiliest
Answer:
your answer is here in the photo I have attached here.
