Advertisements
Advertisements
Question
In the following figure, find the value of ∠BOC, if points A, O and B are collinear.
Advertisements
Solution
Since, A, O and B are collinear.
Then, AOB will be a straight line and sum of all the angles on a straight line is 180°.
∴ ∠AOD + ∠DOC + ∠COB = 180°
⇒ (x – 10)° + (4x – 25)° + (x + 5)° = 180°
⇒ x – 10° + 4x – 25° + x + 5 = 180
⇒ 6x – 30° = 180°
⇒ 6x = 180° + 30°
⇒ 6x = 210°
⇒ x = 35°
Now, ∠BOC = (x + 5)°
= (35 + 5)°
= 40°
APPEARS IN
RELATED QUESTIONS
Mark two points P and Q on a piece of paper. How many lines can you draw the passing through point P?
The adjoining diagram shows a line AB. Draw diagram to represent: ray AB i.e. \[\underrightarrow{AB}\]
The figure is given below name the line segment that is a perpendicular bisector of the other:
Using the given figure, answer the following:
Name the pairs of parallel lines.
State true or false; if false, give the correct statement:
A surface can be plane or curved.
State true or false; if false, give the correct statement:
There are an infinite number of points in a line segment of length 10 cm.
Draw a figure to show that: lines AB, CD and EF are concurrent.
In figure is given below, write the number of line segments used:
In figure is given below, write the number of line segments used:
Use the figure to name:
Line on which O lies.
