Lines and Angles-Sample Questions

1.  In the following figure AB || CD. Find the measure of ∠BOC.

       

2.  If P,Q and R are collinear points, then name all the line segments determined by them.

3.  Find the complement of 36°

4.  Find the measure of an angle which is 26° more than its complement.

5.  If a ray CD stands on a line AB, then prove that

               Angle ACD= angle BCD=180°

6.  If two lines intersect prove that

               Angle AOD=angle

7.  If PQ and RS are two intersecting lines which meet ar point O. If angle POR :angle ROQ= 5:7. Find all the angles.

8.  Prove that the angle formed by the bisector of interior angle A and the bisector of exterior angle B of a triangle ABC is half of angle C.

9.  Sides QP and RQ of triangle PQR are produced to point S and T respectively. If angle SPR= 35° and angle PQT=70°find angle SQR and angle PRQ.

10.  of the three angles of a triangle, one is double the smallest and another is thrice times the smaller. Find the angles.