Question

what are the values of a and b?
a = \square^\circ
b = \square^\circ

Explanation:

Step1: Determine angle \( a \)

In triangle \( UVW \), sides \( VW \) and \( WU \) are marked as equal (isosceles triangle), so the base angles opposite them are equal. Angle at \( V \) is \( 33^\circ \), so angle \( a \) (at \( U \)) is also \( 33^\circ \) (isosceles triangle base angles).

Step2: Calculate angle \( b \)

Sum of angles in a triangle is \( 180^\circ \). So \( b = 180^\circ - 33^\circ - 33^\circ \)
\( b = 114^\circ \)

Answer:

\( a = 33^\circ \), \( b = 114^\circ \)