Step-by-step explanation:
Data:
In this question, we're given with a line thought which two lines interest on the common point of that line. Thus, one pair of vertically opposite angles are formed here. We are also obtained with many straight lines.
In those, one straight line has been given with three measurements are 64°, 40° and 76° .
To find:
13⟩. Angle SYX
14⟩. Angle XYW
15⟩. Angle WYV
16⟩. Angle SYW
17⟩. Angle TYX
18⟩. Angle VYX
Solution:
First of all we should find all the given measurement angle vertically opposite angles, After that we can easily find the angles the question has said.
We know that the vertically opposite angles are always equal, so
Angle SYT = Angle WYV = 64°
Angle TYU = Angle XYW = 40°
Angle UYV = Angle SYX = 76°
Now,
13⟩. Angle SYX = 76°
14⟩. Angle XYW = 40°
15⟩. Angle WYV = 64°
16⟩. Angle SYW = 76° + 40° = 116°
17⟩. Angle TYX = 64° + 76° = 140°
18⟩. Angle VYX = 64° + 40° = 104°
Please let me know if you have any other questions.
