Question

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Answer 1

Answer:

$m\angle FAD =42^o$

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 $\angle FDA$ is right, i.e. measures 90°.

We know $m\angle AFD = 48 ^o$, so the required angle $\angle FAD$ must be 90°-48°=42°.

$m\angle FAD =42^o$