Question

calculate the angles marked with small letters in the following diagram​

Answer 1

Answer:

in this question b=39,a=51

Answer 2

Answer:

a + b = 90 (angle of rectangle)

ANGLE POS = 78 (LP)

POS = QOR = 78 (VOA)

Similarly, POQ = ROS = 102

Since diagonals bisect each other,

QO = OR = OS = OP

Since QO = OR,

Angles OQR = ORQ = a

In Triangle OQR,

a + a = 102 (Ext angle property)

So a = 51

Since a + b = 90

51 + b = 90

b = 39

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