The diagram shows a trapezium inscribed in a semi-circle....
The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m
90o
60o
45o
30o
Correct answer is B
In the diagram, < WOZ = 180o (angle on a straight line)
< WOX = < XOY = < YOZ
(|WX| = |XY| = |YZ|)
180o3 = 60o
= 60o
M + m =2m (base angles of isosceles △, |OY| and |OZ| are radii)
< YOZ + 2m (base angles of a △)
60o + 2m = 180o (sum of a △)
60o + 2m = 180o
2m = 180o - 60o
2m = 120o
m = 120o2
= 60o
Similar Questions
In the figure, find angle x ...
Evaluate x2+x−22x2+x−3 when x = -1...
Find the maximum value of y in the equation y = 1 - 2x - 3x2 ...
In the diagram, PQ//RS, QU//PT and < PSR = 42o. Find angle x....
If T=2π√lg, make g the subject of the formula ...
Find the variance of the numbers k, k+1, k+2, ...
Find at which rate per annum simple interest N525 will amount to N588 in 3 years. ...
On a pie chart there are six sectors of which four angles are 30°, 45°, 60°, 90°&nbs...