Question

calculate the angle marked with small letters in the following diagram .
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Answer 1

Mark me as brainliest....if it's help uh

Answer 2

Answer:

a=51° and b=39°.

Step-by-step explanation:

Diagonals of a rectangle are congruent and bisect each other.

$m\angle ORS=m\angle OSR=b$           (Definition of rectangle)

$m\anlge ROS=m\angle POQ=102$          (Vertical angles)

$m\angle POS+m\angle ORS+m\angle OSR=180$       (Angle sum property)

$102+b+b=180$

$2b=180-102$

$2b=78$

$b=39$

$m\angle ORQ+m\angle ORS=90$                    (Right angle)

$a+39=90$

$a=90-39$

$a=51$

Therefore, a=51° and b=39°.