Advertisements
Advertisements
प्रश्न
Lines PQ and RS intersect at point M. m∠PMR = x° What are the measures of ∠PMS, ∠SMQ and ∠QMR?
उत्तर
In the given figure,
∠RMP + ∠PMS = 180∘ (Linear Pair angles)
⇒ x∘ + ∠PMS = 180∘
⇒ ∠PMS = (180 − x)∘
Now,
∠PMR = ∠SMQ = x∘ (Vertically opposite angles)
∠PMS = ∠RMQ = (180 − x)∘ (Vertically opposite angles)
Hence, the measures of ∠PMS, ∠SMQ and ∠QMR are (180 − x)∘, x∘ and (180 − x)∘ respectively.
संबंधित प्रश्न
Indicate which pairs of angles are Vertically opposite angles.
Fill in the blanks:
If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.
Lines AC and BD intersect at point P. m∠APD = 47°. Find the measures of ∠APB, ∠BPC, ∠CPD.
In the given figure, identify two pairs of vertically opposite angles
The angles at a point are x°, 2x°, 3x°, 4x° and 5x°. Find the value of the largest angle?
Using the figure, answer the following question and justify your answer
Is ∠3 vertically opposite to ∠1?
In the given figure, lines l and m intersect each other at a point. Which of the following is false?
Statements a and b are as given below:
a: If two lines intersect, then the vertically opposite angles are equal.
b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°.
Then ______.
Vertically opposite angles form a linear pair.
If two angles have a common vertex and their arms form opposite rays (Figure), Then, write all the pairs of vertically opposite angles.
