Q1.
Find the angle which is double of its supplement.
Q2.
In the following figure, what value of
Q3.
In the given figure,
will make
is a straight line and the ray
and
a straight line?
stands on it. If
, find the value of . Also find
.
Q4.
In the given figure, two straight lines
intersect at a point
, find the measure of each of these angles (i)
© Copyright 2011 - 12 Educomp Solutions Ltd.
(ii)
. If
(iii)
Page 1 of 6
Q5.
In the given figure, rays
,
are such that,
,
and
. Find the value of of .
Q6.
Find the supplement of each of the following angles:
(i)
(ii)
(iii)
Q7.
State whether the following pair of angles is supplementary, complementary or
none:
(i)
(ii)
(iii)
(iv)
Q8.
Q9.
Prove that if two lines intersect, then the vertically opposite angles are equal.
A straight line cuts two other straight lines and the following are the pairs of
interior angles on the same side of transversal in different cases. Show in which of
cases the two straight lines are parallel.
(i)
(ii)
(iii)
(iv)
Q10.
Q11.
Prove that two lines which are parallel to the same given line are parallel to each
other.
In the given figure, it is given that
,
,
. Find
.
Q12.
In the given figure,
© Copyright 2011 - 12 Educomp Solutions Ltd.
and
. Prove that
.
Page 2 of 6
Q13.
In the given figure,
respectively. If
and
is a transversal cutting them at
are the bisectors of the corresponding angles
respectively, show that
Q14.
In the given figure, Show that
Q15.
In the given figure,
,
.
.
and
, Find the measure of
.
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 3 of 6
Q16.
In the given figure,
Q17.
A straight line cuts two other straight lines and the following are the pairs of
corresponding angles in different cases. Show in which of the following cases the
two lines are parallel:
(i)
(ii)
(iii)
(iv)
Q18.
In the given figure,
angles
Q19.
and
. Find the measure of each of the angles
and
in
and
. Find the
.
In the given figure, two lines
. Is
intersected by a transversal
such that
? Give reasons.
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 4 of 6
Q20.
In the given figure,
Find the values of angles
and
has been produced to
so that
.
.
Answers
A1.
A2.
A3.
A4.
(i)
(ii)
(iii)
A5.
A6.
(i)
(ii)
(iii)
A7.
A8.
A9.
A10.
A11.
(i) Supplementary (ii) None (iii) Complementary (iv) None
Hint: A ray cutting a straight line forms a linear pair.
(ii),(iii)
Hint: Draw a transversal and prove that corresponding angles are equal.
A12.
Hint :
A13.
the fact that corresponding angles are equal.
Hint: Use properties of parallel lines cut by a transversal (corresponding angles are
equal)
,
is the transversal;
© Copyright 2011 - 12 Educomp Solutions Ltd.
and
is the transversal. Now use
Page 5 of 6
A14.
A15.
Hint: Use the concept of alternate interior angles in parallel lines, when they are
cut by a transversal. Use also the property- lines parallel to the same line are
parallel to each other.
A16.
A17.
A18.
(ii), (iv)
A19.
A20.
Yes
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 6 of 6