In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.
46° + 82° + No. 4 = 180°
No. 4 = 180° - 128° = 52°
Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)
What is angle?
In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.
So, we can see that:
Line a || Line b and Line c || Line d
46° = 7 (corresponding angles)
So, 46° + 82° + No. 4 = 180°
Thus, No. 4 = 180° - 128° = 52°
Therefore:
No. 4 = No. 1 = 52° (vertically opposite angles)
No. 2 = 180° - 52° = 128° (angles on a straight line)
No. 2 = No. 3 = 128° (vertically opposite angles)
No. 7 = No. 6 = 46° (vertically opposite angles)
No. 8 = 180° - 46° = 134° (angles on a straight line)
No. 8 = No. 5 = 134° (vertically opposite angles).
82° = No. 11 (vertically opposite angles)
No. 9 = 180° - 82° = 98° (angles on a straight line)
No. 9 = No. 10 = 98° (vertically opposite angles)
No. 9 = No. 15 = 98° (alternate angles)
No. 13 = No. 15 = 98° (vertically opposite angles)
No. 12 = No. 14 = 82° (vertically opposite angles)
46°= No. 17 (vertically opposite angles)
No. 18 = 180° - 46° = 134° (angles at a point)
No. 18 = No. 16 = 134° (vertically opposite angles)
No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)
No. 19 = No. 22 = 52° (vertically opposite angles)
No. 20 = 180° - 52° = 128° (angles on a straight line).
No. 20 = No. 21 = 128° (vertically opposite angles)
No. 25 = No. 2 = 128° (corresponding angles)
No. 25 = No. 24 = 128° (vertically opposite angles)
No. 23 = No. 26° (vertically opposite angles).
So, all the angles are:
1= 52°
2= 128°
3= 128°
4= 52°
5= 134°
6= 46°
7= 46°
8=134°
9= 98°
10= 98°
11= 82°
12= 82°
13= 98°
14= 82°
15= 98°
16= 134°
17= 46°
18= 134°
19= 52°
20= 128°
21= 128°
22= 52°
23= 52°
24= 128°
25= 128°
26= 52°
Learn more about angles on https://brainly.com/question/26167358
