Explain the circle geometry theorem ERL = (1)/(2) EOL and solve for REA = 92^.

Here's a breakdown of the questions and their solutions:

Question No. 12

a) The statement provided is a fundamental theorem in circle geometry.
Statement: $\angle ERL = \frac{1}{2} \angle EOL$ [एउटै चापमा बनेको परिधि कोण केन्द्रीय कोणको आधा हुन्छ।]
Explanation: This theorem states that the angle subtended by an arc at the circumference ($\angle ERL$) is half of the angle subtended by the same arc at the center ($\angle EOL$). This is a core property of circles.

b) This part presents a calculation based on a given angle and an equality.
Given: $\angle REA = 92^\circ$