Answer:
[tex]m\angle FAD =42^o[/tex]
Step-by-step explanation:
Right Triangles
Right triangles are those who have a right angle, i.e. 90°. The other two angles must sum 90° to complete the 180° which must sum the internal angles of a triangle.
The image shows a circle with two similar triangles FAD and EAD. We know they are congruent because they share the same height and have a base of the same value (as indicated by the ticks). The segment AD must be perpendicular to FE since it comes from the center of the circle. We can conclude [tex]\angle FDA[/tex] is right, i.e. measures 90°.
We know [tex]m\angle AFD = 48 ^o[/tex], so the required angle [tex]\angle FAD[/tex] must be 90°-48°=42°.
[tex]m\angle FAD =42^o[/tex]
