Advertisements
Advertisements
प्रश्न
Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC =
विकल्प
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 30° more than one half of its complement, find the measure of the angle.
statement are true and false
If two adjacent angles are equal, and then each angle measures 90°.
If two straight lines intersect each other, prove that the ray opposite to the bisector of one of the angles thus formed bisects the vertically opposite angle.
An angle is equal to five times its complement. Determine its measure.
In the given figure, AB || CD || EF and GH || KL. The measure of ∠HKL is

In the given figure, if CP || DQ, then the measure of x is

In the given figure, BAC is a straight line.
Find:
(i) x
(ii) ∠AOB
(iii) ∠BOC

In the following figure, ∠AOB and ∠AOC are adjacent angles? Give the reason for your answer.

Write the supplement of (x + 35)°
In the given figure, lines PQ, MN, and RS intersect at O. If x : y = 1 : 2 and z = 90°, find ∠ROM and ∠POR.

