The measure of angle m∠WYX is 46°, and the measure of m∠YWX is 63° option (A) and (B) is correct.
What are vertically opposite angles?
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
We have m∠WXY = 71° (given)
From the definition of vertically opposite angles:
m∠Y = m∠WYX ⇒46° (given)
The sum of the interior angles of the triangle = 180°
m∠YWX+m∠WXY+m∠WYX = 180°
m∠YWX+71°+46° = 180°
m∠YWX = 180° -71° - 46°
m∠YWX = 63°
Thus, the measure of angle m∠WYX is 46°, and the measure of m∠YWX is 63°.
Learn more about the vertically opposite angles here:
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