Question

Henry is using a geometry software program to construct some triangles and study their properties. Line h is perpendicular to line i as shown in the figure. Based on the Information given, what is the measure, in degrees, of angle2 ?

Answer 1

m∠2 = 57°

Explanation:

From the triangle given in the picture,

By applying triangle sum theorem in ΔABC,

m∠BAC + m∠ABC + m∠BCA = 180°

90° + m∠2 + 33° = 180°

m∠2 + 123° = 180°

m∠2 = 180° - 123°

m∠2 = 57°