Answer:
∠WVR = 156
Step-by-step explanation:
Angles in triangle add up to 180 - SEE ATTACHMENT - LEFT TRIANGLE
∴ ∠SRT + RST + RTS = 180
∴ ∠SRT + 109 + 47 = 180
∠SRT = 24
Alternate Angle Theorem - SEE ATTACHMENT - RIGHT TRIANGLE
∠SRT = 180 - ∠WVR
24 = 180 - ∠WVR
24 - 180 = - ∠WVR
-156 = - ∠WVR
∠WVR = 156
Answer:
The answer is below
Step-by-step explanation:
The complete question is given in the image attached below
m∠1 + m∠2 = 180° (sum of angles on a straight line)
m∠1 + 98 = 180
m∠1 = 180 - 98
m∠1 = 82°
m∠2 + m∠3 + m∠7 = 180° (sum of angles in a triangle)
98 + 23 + m∠7 = 180
m∠7 + 121 = 180
m∠7 = 180 - 121
m∠7 = 59°
m∠4 = m∠7 (alternate angles)
m∠4 = 59°
m∠6 + m∠7 + m∠8 = 180° (sum of angles on a straight line)
m∠6 + 59 + 70 = 180
m∠6 + 129 = 180
m∠6 = 180 - 129
m∠6 = 51°
m∠4 + m∠8 + m∠9 = 180° (sum of angles in a triangle)
59 + 70 + m∠9 = 180
m∠9 + 129 = 180
m∠9 = 180 - 129
m∠9 = 51°
m∠4 + m∠5 = 180° (sum of angles on a straight line)
m∠5 + 59 = 180
m∠5 = 180 - 59
m∠5 = 121°
m∠10 + m∠9 = 180° (sum of angles on a straight line)
m∠10 + 51 = 180
m∠10 = 180 - 51
m∠10 = 129°
