Advertisements
Advertisements
प्रश्न
There are six angles at a point. One of them is 45° and the other five angles are all equal. What is the measure of all the five angles?
Advertisements
उत्तर
We know that the sum of angles at a point is 360°.
One angle = 45°
Let the equal angles be x° each
∴ x° + x° + x° + x° + x° + 45° = 360°
5x° + 45° = 360°
5x° = 360° − 45°
5x° = 315°
x° = `(315^circ)/5`
x° = 63°
∴ Measure of all 5 equal angles = 63°.
APPEARS IN
संबंधित प्रश्न
Indicate which pairs of angles are: Linear pairs.
One angle of a linear pair is a right angle. What can you say about the other angle?
In the figure POQ, ROS and TOU are straight lines. Find the x°
In the following figure, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1 : 5. Then, ∠QOS measures ______.
In the following figure, PQ || RS. If ∠1 = (2a + b)° and ∠6 = (3a – b)°, then the measure of ∠2 in terms of b is ______.
Two angles making a linear pair are always supplementary.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
What is the type of other angle of a linear pair if one of its angle is acute?
