Answer:
A. m∠WYX = 46°
B. m∠YWX = 63°
Step-by-step explanation:
In Δ WXY
∵ m∠WXY = 71°
- ∠WYX is vertically opposite with the angle of measure 46°
∴ m∠WYX = 46°
- The sum of the measures of the interior angles of a Δ is 180°
∴ m∠WXY + m∠WYX + m∠YWX = 180°
∴ 71 + 46 + m∠YWX = 180°
- Add like terms in the left hand side
∴ 117 + m∠YWX = 180°
- Subtract 117 from both sides
∴ m∠YWX = 63°
Let us check the true statement about the diagram
A. m∠WYX = 46° ⇒ true
B. m∠YWX = 63° ⇒ true
C. m∠WXY = 46° ⇒ false it is 71°
D. m∠YWX = 46° ⇒ false it is 63°
F. m∠WYX = 134° ⇒ false it is 46°
