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 ?
![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 class=](https://us-static.z-dn.net/files/d18/76612712a1fd58ea20913833c8d4861f.png)
Answer:
m∠2 = 57°
Step-by-step 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°