Question

Calculate the angles marked with small letters in the diagrams.​

Answer 1

Answer:

let the diagonals of the rectangle intersect at the point o

then angle POQ= angle SOR=120°

again SO=OR as the diagonals bisect each other.

si, angle ORS=angle OSR=b

in triangle OSR

angle OSR+angle ORS + angle ROS=180°

=> b+b+120°=180°

=> 2b=(180-120)°

=> 2b=60°

b=60/2°=30°

again ,every angle of a rectangle is 90°

so, a+b=90°

=> a=90°-b=90°-30°=60°

a=60° and b=30°