Advertisements
Advertisements
प्रश्न
In the following figure, find the value of ∠BOC, if points A, O and B are collinear.
Advertisements
उत्तर
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
संबंधित प्रश्न
State true or false, if false give the correct statement:
A line has a countable number of points in it.
State true or false, if false give the correct statement:
The intersection of two planes is a straight line
Give two examples, from your surrounding, for the following:
points
Under what condition will two straight lines, in the same plane, have only one point in common.
If possible draw a diagram in support of your answer.
Mark two points A and B on a page of your exercise book. Mark a third point P, such that:
P lies between A and B ; and the three points A, P and B are collinear.
The adjoining diagram shows a line AB. Draw diagram to represent: line segment AB.
Using the given figure, answer the following:
Name the pairs of parallel lines.
Many lines can pass through two given points.
Use the figure to name the A line.
Consider the following figure of line \[\overleftrightarrow{MN}\]. Say whether the following statement is true or false in the context of the given figure.
Q, M, O, N, and P are points on the line \[\overleftrightarrow{MN}\].
