QUESTION 1:
Required angles are: m<2=75°, m<3=75°, m<4= 105°, m<5= 105°, m<6=75°, m<7=75°, m<8=105°
QUESTION 2:
Required angles are: m<1=100° m<2=80°, m<4= 100°, m<5= 100°, m<6=80°, m<7=80°, m<8=100°
Step-by-step explanation:
Question 1:
if m<1 =105°
We need to find the remaining angles.
The corresponding angles of a traversal are same. so the corresponding angle of <1 is angle 5 So, m<5 = 105°
The vertical angles are also equal. so, vertical angle of <1 is <4. So, m<4 = 105°
Vertical angles of m<5 is m<8 so, m<8=105°
m<1 and m<2 are supplementary angles of each other so their sum will be equal to 180°
So, m<1+m<2=180
105+m<2=180
m<2=75°
Same goes for m<3 and m<4 so, m<3 = 75°
m<5 and m<6 so, m<6 = 75°
m<7 and m<8 so, m<7= 75°
So, required angles are: m<2=75°, m<3=75°, m<4= 105°, m<5= 105°, m<6=75°, m<7=75°, m<8=105°
Question No 2
if m<3=80°
We need to find the remaining angles.
The corresponding angles of a traversal are same. so the corresponding angle of <3 is angle 7 So, m<7 = 80°
The vertical angles are also equal. so, vertical angle of <3 is <2. So, m<2 = 80°
The Vertical angle of <7 is <6 so, m<6= 80°.
m<1 and m<2 are supplementary angles of each other so their sum will be equal to 180°
So, m<1+m<2=180
m<1+80=180
m<1=100°
Same goes for m<3 and m<4 so, m<4 = 100°
m<5 and m<6 so, m<5 = 100°
m<7 and m<8 so, m<8= 100°
So, required angles are: m<1=100° m<2=80°, m<4= 100°, m<5= 100°, m<6=80°, m<7=80°, m<8=100°
Keywords: Traversal of parallel lines
Learn more about traversal of parallel lines at:
#learnwithBrainly
