The angle made by ∠MLPQR = 49°.
What is an Angle:
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex. The angle that lies in the plane does not have to be in the Euclidean space. In case if the angles are formed by the intersection of two planes in the Euclidean or the other space, the angles are considered dihedral angles. The angle is represented using the symbol “∠”. The angle measurement between the two rays can be denoted using the Greek letter θ, α, β etc. If the angles are measured from a line, we can find two different types of angles, such as a positive angle and a negative angle.
Now,
We know that One unit circle. = 360°
intercepted arc PSR = 360° - 131°= 229°
Now,
MLPQR = 1 / 2 (Difference of intercepted arcs)
1/2 (MPSR - MRP)
=1 /2 (229-131)
= 98 / 2 = 49°
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