Question

Calculate the angles marked with small letters in the following diagrams,
102
121
P
(1) Rectangle
i Rectangle​

Answer 1

Answer:

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Step-by-step explanation:

ANSWER

∠POQ=∠SOR=102

∘

The diagonals in rectangle bisect each other

so SO=OR

⟹∠OSR=∠ORS

By angle sum property

102+b+b=180

2b=78

b=39

a+b=90

a=90−39=51

Answer 2

Answer:

ii ) b=41

a=90-41=39

Step-by-step explanation:

ΔROS=^POQ=102-------VERTICIALLY OPPOSITE ANGLES

ΔROS IS AN ISOSCELES Δ

2B=180-102

2B=82

B=82/2

B=41