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 )

Measure and classify each angle : {:("Angle","Measure","Type"),(angle AOB,,),(angle AOC,,),(angle BOC,,),(angle DOC,,),(angle DOA,,),(angle DOB,,):}

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.

There are three angles. The second angle is one-third of the compliment of the first angle. The third angle is half of the supplement of the first angle. The third angle is 6 times the second angle. Find the first angle.

In a group of three angles,the second angle is one-third of the complimentof the first angle. The third angle is half of the supplement of the first angle.The third angle is 6 xx the second angle.Find the first angle.

Acute Angle; Right Angle and Obtuse Angle

In a quadrilateral PQRS, angle Q is twice the angle P. Angle R is thrice the angle P. The value of angle R is 150^@ What is the difference between angle Q and angle S?

Angle 'A' of the quadrilateral ABCD is 26^(@) less than angle B. Angle B is twice angle C and angle C is 10^(@) more than the angle D. What would be the measure of angle A?