Question

Find angle W,X,Y and Z

Answer 1

hi this this is Priyanka so this question is given that a b c and d are point on the circumference of a circle Centre O so given the diagram is one circle and draw kite so BD is equal to BC E and angle DBC is equal to 62 degrees this is given to your diagram so we have to find the values of W X Y and Z ok so friendly we have to go the underground its angle is a b c and d are you know I will also explain its book for only have the anyways angle is 180 degrees so we have to minus the 62 degree 180 degree -62 degree so we have to find the angle w and then we have to w that its answer and then - its 180 degree that it's 1 - is 180 degree so that is your answer is we have to find the w x y z I hope it is helpful for you thanks a lot alright

Answer 2

Answer:

Answer:

given that BC=BD

so LCDB =LCBD=62°=w

now, LCDA=90° because angles made on the circumference of a circle from the end points of the diameter are all 90°

therefore,

x+w=90°

x=90°-w

=90°-62°

=28°

therefore, x=28°

again, we know that the median of a isosceles triangle bisect the angle equally.

therefore, LDCB=2z

now, LDCB =180°-(w+62°)=180°-124°=56°

therefore, LDCB=56°

therefore, 2z=56°

z=28°

now in triangle ADC,

y+(x+w)+z=180°

=>y+90°+28°=180°

=>y=180°-118°

therefore, y=62°

therefore, w=62°,x=28°, y=62° and z=28°

I'm tired TT. HOPE IT HELPS ;)

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