UPSKILL MATH PLUS

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Answer variants:
Angles in the same segment are equal.
Angle in a semicircle is 90^{\circ}
Sum of opposite angles of a cyclic quadrilateral is 180^{\circ}.
Sum of the two acute angles in a right-angled triangle is 90^{\circ}
The linear pair of angles are always supplementary
A_S_thm_Exp.png
 
In the figure, prove that the angles with equal numbers are equal.
 
Answer the following with suitable theorems:
 
Angles
Theorems
\angle RQP = 90^{\circ}
\angle QRP + \angle RPQ = 90^{\circ}
\angle QRP = \angle PSQ
\angle QPA + \angle QPB = 180^{\circ}
\angle PSQ + \angle PTQ = 180^{\circ}