Advertisements
Advertisements
प्रश्न
Lines AC and BD intersect at point P. m∠APD = 47°. Find the measures of ∠APB, ∠BPC, ∠CPD.
उत्तर
In the given figure,
∠DPA + ∠APB = 180∘ (Linear Pair angles)
⇒ 47∘ + ∠APB = 180∘
⇒ ∠APB = 133∘
Now,
∠APD = ∠BPC = 47∘ (Vertically opposite angles)
∠APB = ∠DPC = 133∘ (Vertically opposite angles)
Hence, the measures of ∠APB, ∠BPC, ∠CPD are 133∘, 47∘ and 133∘ respectively.
संबंधित प्रश्न
Find the value of the angles x, y, and z in the following
Lines PQ and RS intersect at point M. m∠PMR = x° What are the measures of ∠PMS, ∠SMQ and ∠QMR?
Using the figure, answer the following questions
(i) What is the measure of angle x°?
(ii) What is the measure of angle y°?
Using the figure, answer the following question and justify your answer
Is ∠3 vertically opposite to ∠1?
In the given figure, ∠8 = 107°, what is the sum of the ∠2 and ∠4?
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.
Vertically opposite angles are either both acute angles or both obtuse angles.
The sum of two vertically opposite angles is 166°. Find each of the angles.
Three lines AB, CD and EF intersect each other at O. If ∠AOE = 30° and ∠DOB = 40° (Figure), find ∠COF.
