Given:
Diameter of the circle = RZ
Tangents = JY and EQ
Chord = DR
Radius = RL, LZ, OL
Chord = DA, RA
Let's select all the angles that must be right angles.
• The angle formed where a tangent and radius meet is a right angle.
Thus, we have the right angles:
∠LOY
∠LZQ
• When two chords meet at the circumference and one chord is a diameter, then they form right angles.
Therefore, we have the right angle:
∠LRD
Therefore, the angles that must be right angles are:
∠LZQ
∠LOY
∠LRD
ANSWER:
• ∠LZQ
,
• ∠LOY
,
• ∠LRD
