Question

calculate the value of x and w
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Answer 1

Answer:

x = 40° and w = 35°

Step-by-step explanation:

clearly ABCD is a cyclic quadrilateral

we know that angles subtended by a chord on circumference are equal

this gives

w= angle ADB = angle ACB = 35° = angles subtended by chord AB

hence w= 35°

similarly

x = 40°

Answer 2

Answer:

I think ABCD is a given square,so the answer is here

Step-by-step explanation:

In a square all sides are same and are of 90°

angle A =angle C

angle B= angle D

angle A= 90

40 + a=90

a=90-40

a=50

and we can similarly show this like above ,

angle C=90

c+35=90

c=90-35

c=55°

AD and CB are parallel lines

and DC is the transversal

so, we can say that

angle C = angle D

so we already prove that angle C is. 90°

so angle B= angle D. ( by opposite side of a square are equal)

I Hope this help you