Question

PQRS is a recrangle . calculate the angles marked with small letters​

Answer 1

Answer:

x is 38 and y is 52 ........

Answer 2

Answer:

angle RQS = 180 - angle POQ

reason sum of angles on a straight line = 180 degrees

therefore RQS = 180-104

= 76 degrees

in triangle POQ:-

triangle is an equilateral triangle as it lies inside a rectangle.... - equation 1

therefore :-

76 + y+y= 180

76 + 2y = 180

2y = 104

y = 52 degrees

angle R = 90 degrees

angle R = x+y

90 = x+52

x= 38 degrees

therefore :-

x = 38 degrees and y = 52 degrees

I hope this helps