In the diagram above, M, N, R are points on the circ...
In the diagram above, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.
\(58^0\)
\(64^0\)
\(48^0\)
\(76^0\)
Correct answer is D
Reflex ∠MOR = 2 × 124° = 248° (angle at the centre is twice the angle at the circumference)
∠MOR = 360° - 248° = 112° (sum of angle at a point is 360°)
∠OMN = 360° - (124°+ 48° + 112°) (sum of angles in a quadrilateral is 360°)
= 360° - 284°
∴ ∠OMN = 76°
Similar Questions
In the figure, if XZ is 10cm, calculate RY in cm ...
Convert 35 to a number in base two ...
\(\begin{array}{c|c} Age(years) & 13 & 14 & 15 & 16 & 17 \\ \hline Frequency & 10 & 24 & 8 & 5...
A town P is 150km from a town Q in the direction 050o. What is the bearing of Q from P?...
Find the average of the first four prime numbers greater than 10 ...
If 2\(_9\) x (Y3)\(_9\) = 3\(_5\) x (Y3)\(_5\), find the value of Y. ...