Rays OA,OB, OC,OD, and OE have the common initial point O Show the \(\angle \)AOB+\(\angle \)BOC+\(\angle \)COD+\(\angle \)DOE+\(\angle \)EOA=\(360^{ 0 }\).Draw a ray OP opposite to ray OA.
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4

(a)

If two lines are perpendicular to the same line prove that they are parallel to each other.

4

(a)

If l,m,n are three lines such that l || m and n \(\bot \) l , then prove that n \(\bot \)m

4

(a)

In figure PQ || RS and T is any point as shown in the figure then show that
\(\angle PQT+\angle QTS+\angle RST=360^{ 0 }\)

4

(a)

In figure l || m , show that \(\angle 1+\angle 2-\angle 3=180^{ 0 }\)

4

(a)

The degree measures of three angles of a triangle are x,y and z if \(z=\frac { x+y }{ 2 } \) then find the value of z

4

(a)

Prove that the sum of of all the angles of a quadrllateral is \(360^{ 0 }\)

4

(a)

In figure the side BC of \(\triangle \)ABC is produced to D.The bisector of \(\angle A\) meets BC in L.
Prove that \(\angle ABC\)+\(\angle ACD\)=2\(\angle ALC\)

4

(a)

A transversal intersects two parallel lines. Prove that the bisectors of any pair of cosresponding angles so formed are parallel.

4

(a)

If two parallel lines are intersected by a transversal, then prove that bisectors of the interior angles form a rectangle.

4

(a)