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
\(\angle RQP\) \(=\) \(90^{\circ}\)
\(\angle QRP\) \(+\) \(\angle RPQ\) \(=\) \(90^{\circ}\)
\(\angle QRP\) \(=\) \(\angle PSQ\)
\(\angle QPA\) \(+\) \(\angle QPB\) \(=\) \(180^{\circ}\)
\(\angle PSQ\) \(+\) \(\angle PTQ\) \(=\) \(180^{\circ}\)