Advertisements
Advertisements
प्रश्न
In the given figure, AOB is a straight line. Find the value of x and also answer each of the following:
(i) ∠AOP = ……..
(ii) ∠BOP = ……..
(iii) which angle is obtuse?
(iv) which angle is acute?
उत्तर
∠AOP = x + 30°
∠BOP = x – 30°
But ∠AOP + ∠BOP = 180° (∵ ∠AOB is a straight angle)
⇒ x + 30°+x - 30° = 180°
⇒ 2x = 180°
⇒ x = 90°
(i) ∠AOP = x + 30° = 90° + 30° = 120°.
(ii) ∠BOP = x- 30° = 90° – 30° = 60°.
(iii) ∠AOP is an obtuse angle.
(iv) ∠BOP is an acute angle.
APPEARS IN
संबंधित प्रश्न
In the given figure ; AOC-is a straight line. If angle AOB = 50°, angle AOE = 90° and angle COD = 25° ; find the measure of:
(i) angle BOC
(ii) angle EOD
(iii) obtuse angle BOD
(iv) reflex angle BOD
(v) reflex angle COE.
In the given figure if: a = 5/3 right angle, find b
In the given figure, lines AB and CD intersect at point O.
(i) Find the value of ∠a.
(ii) Name all the pairs of vertically opposite angles.
(iii) Name all the pairs of adjacent angles.
(iv) Name all the reflex angles formed and write the measure of each.
Write the complement angle of: 45°
Write the complement angle of: (x – 10)°
60% of 100°
The measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Find x.
Explain what do you understand by Adjacent angles?
Use the adjoining figure to find: (i) ∠BOD (ii) ∠AOC
An angle is one-thirds of a straight line angle; find:
(i) the angle
(ii) the complement and the supplement of the angle obtained above.
