Question

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6th question

Answer 1

Step-by-step explanation:

${\angle{4}=100°           }$

so=

7=100°

3=180-100=80°

8=80°

${  a\ parallel ~b        }$

2=100°

5=100°

1=80°

6=80°

${  c \ parallel ~d         }$

10=100°

13=100°

9=80°

14=80°

12=100°

15=100°

11=80°

16=80°

Answer 2

angle 1 = 80 degree

angle 2 =100 degree

angle 3 = 80 degree

angle 4 = 100 degree

angle 5 = 100 degree

angle 6 = 80 degree

angle 7 = 100 degree

angle 8 = 80 degree

angle 9 = 80 degree

angle 10 = 100 degree

angle 11 = 80 degree

angle 12 = 100 degree

angle 13 =100 degree

angle 14 = 80 degree

angle 15 = 100 degree

angle 16 = 80 degree

Step-by-step explanation:

Sol:

Given: angle 4 = 100 degree

angle 4 = angle 12 (according to corresponding angles)

Therefore angle 12=100degree

angle 12 = angle 7

then angle 7= 100 degree ( according to alternate interior angle)

angle 7+angle 11 = 180 degree (according to consecutive interior angles)

according to property:

angle7 +angle 11=180degree

100 degree + angle 11 = 180 degree

therefore angle 11 = (180 -100) degree

angle 11 = 80 degree

angle 11 = angle 3 (according to corresponding angles)

then angle 3 = 80 degree

angle 8 + angle 12 =180 degree (according to consecutive interior angle)

according to property:

angle8 + angle 12 = 180 degree

angle 8 + 100 degree = 180 degree

Therefore angle 8 =( 180 -100 ) degree

angle 8 = 80 degree

angle 8 = angle 16( according to corresponding angles)

angle 16 = 80 degree

angle 4 = angle 15( according to alternate exterior angle)

angle 15 = 100 degree

a //b

therefore angle 6+ angle 7 = 180 degree

angle 6 + 100 d = 180 d

angle 6 = (180 -100) degree

angle 6 = 80 degree

angle 10 + angle 11 = 180 d

angle 10 + 80 d = 180 d

angle 10 = (180 -80)degree

angle 10 = 100 degree

angle 10 = angle 2( according to alternate interior angle)

angle 2 = 100 degree

angle 6 = angle 14 (according to corresponding angles)

angle 14 = 80 degree

angle1 = angle14 (according to alternate interior angle)

angle 1 = 80 degree

angle 2 = angle 13 (according to alternate exterior angle)

angle 13 = 100 degree

angle 10 = angle 5

angle 5 = 100degree

angle 9 = angle1 ( according to corresponding angles)

angle 9 = 80 degree