Vertically Opposite Angles
In the figure, two straight lines PQ and RS intersect each other at O. If ∠POT=75∘, find the values of a, b and c. [4 MARKS]
Two angles forming a linear pair are always _____.
Sum of vertically opposite angles is always 180°. State true or false.
A horizontal line and a vertical line always intersect at right angles.
Amisha makes a star with the help of line segments a, b, c, d, e and f in which a||d, b||e and c||f. Chhaya marks an angle as 120∘ as shown in the given figure and Amisha to find to ∠x, ∠yand ∠z. Help Amisha in finding the angles.
If two adjacent angles are supplementary, they form a ___________.
Question 14 (i)
In the adjoining figure, name the following pairs of angles:
Obtuse vertically opposite angles.
- x=55∘, y=135∘ and z=135∘
- x=55∘, y=125∘ and z=125∘
- x=45∘, y=225∘ and z=25∘
- x=35∘, y=145∘ and z=125∘
Find the value of the unknowns x and y in the following diagrams:
- 20°, 40°, 80°
- 30°, 60°, 90°
- 10°, 20°, 40°
- 50°, 70°, 90°
- x=115∘, y=140∘ and z=40∘
- x=215∘, y=10∘ and z=40∘
- x=125∘, y=190∘ and z=40∘
- x=175∘, y=120∘ and z=30∘
Two angles have a common vertex and their arms form opposite rays (figure). Then
Write all the pairs of vertically opposite angles
In the given figure, find the measures of ∠PON and ∠NPO
In the given figure, if RP = RQ, find the value of x.
In the given figure ∠AOC and ∠BOC form a pair of
(a) vertically opposite angles
(b) complementary angles
(c) alternate interior angles
(d) supplementary angles
In each of the following figures, write, if any (i) each pair of vertically opposite angles, and (ii) each linear pair.
In the given figure, if ST = SU, then find the values of x and y.
In the figure, given below ∠COD = 150∘. Choose the correct option.
∠AOB = 150∘
∠BOC = 40∘
∠AOB = 15∘
None of the above
If two angles are complementary, then the sum of their measure is _____ .
Question 3 (iii)
Identify which of the following pairs of angles are complementary and which are supplementary:
In the figure below, lines AB and CD intersect each other at point O. Angles (∠ AOD, ∠ COB) and (∠ AOC, ∠ BOD) are called ___.
vertically opposite angles
opposite interior angles
adjacent pair angles
In the given figure, PQRS is a rectangle if ∠RPQ=30∘. Then, the value of (x + y) is: