Advertisements
Advertisements
प्रश्न
Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC =
पर्याय
63°
117°
17°
153°
Advertisements
उत्तर
Let us draw the following diagram showing two lines AB and CD intersecting each other at a point O.

Let the required angle ∠BOC measures x°.
Also, ∠BOCand ∠BODform a linear pair. Therefore, their sum must be equal to 180°.
That is,
∠BOC +∠BOD = 180°
It is given that. ∠BOD = 63°Substituting, this value above, we get:
∠BOC +63° = 180°
∠BOC = 180° - 63°
∠BOC =117°
APPEARS IN
संबंधित प्रश्न
If an angle is 28° less than its complement, find its measure.
Fill in the blank so as to make the following statement true:
If the sum of two adjacent angles is 180°, then the ______ arms of the two angles are
opposite rays
Define complementary angles.
Define supplementary angles.
The complement of an acute angle is ..............
State, true or false:
Is 40° the complement of 60°?
In the following figure, ∠AOB and ∠AOC are adjacent angles? Give the reason for your answer.

In the given figure, AB is perpendicular to BC at B.
Find:
(i) the value of x.
(ii) the complement of angle x.

Write the supplement of 100°
AB, CD and EF are three lines intersecting at the same point.
(i) Find x, if y = 45° and z = 90°.
(ii) Find a, if x = 3a, y = 5x and r = 6x.

