Angle

Some Basic Definition-Collinear And Non Collinear Points |Angles & Its Types|Complementary And Supplementary Angles|Relation Between Two Angles-Adjacent Angles|Linear Pair Of Angles,Vertically Opposite Angles|Axioms |Theorem |Transversal |Corresponding Angles,Alternate Interior Angles,Co-interior Angles

Prove that, angles inscribed in the same arc are congruent . Given : angle PQR and angle PSR are inscribed in the same arc PXR. PXR is intercepted by the angles. To prove : angle PQR ~= angle PSR Proof : m angle PQR =1/2 m (arc PXR) " "(I) square m angle .........=1/2 m(arc PXR) " "(II) therefore m angle ....... =m angle PSR " " (From I and II) therefore angle PQR ~= angle PSR " " ( Angles equal in measure are congruent )

From the Figure , choose the correct option. (i) angle1 & angle8 are alternate angles (ii) angle1 & angle7 are alternate angles (iii) angle3 & angle5 are alternate angles (iv) angle4 & angle8 are corresponding angles (v) angle2 & angle6 are not corresponding angles. (vi) angle3 & angle8 are interior angles on the same side of the transversal.

Point OF angle || Adjacent angle || Linear pair OF angle || Vertical-opposite angle|| Transversal lines Corresponding angle|| Alternate Interior angle || Co-interior|| Exterior angle || Example discussion