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, whether the following pair of line or ray appear to be parallel or intersecting.
Give two examples, from your surrounding, for the following:
plane surfaces
Under what condition will two straight lines, in the same plane, have: an infinite number of points in common.
If possible draw a diagram in support of your answer.
Use a ruler and whether following points are collinear or not:
B, C and E
State if the following figure shows two mutually perpendicular lines:
Place a scale (ruler) on a sheet of paper and hold it firmly with one hand. Now draw two line segments AB and CD along the longer edges of the scale. State whether segment AB is parallel to or perpendicular to segment CD.
Draw two straight lines on a sheet of paper so that the lines drawn the intersect each other.
In your note-book, draw two rays with the same initial point O and going in opposite directions. Write the special name for the final figure obtained.
Draw a four-sided closed figure, in which opposite sides are equal and each angle is 90° and also give the special name of the figure drawn.
Use the figure to name:
Line passing through A.
