मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Pqrs is a Parallelogram. Write the Sum of Measures of ∠P and ∠ Q.

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प्रश्न

`square`PQRS is a parallelogram. Write the sum of measures of ∠P and ∠ Q.

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उत्तर

`square`PQRS is a parallelogram.
∴∠ P + ∠ Q = 180° ....... (Sum of measures of interior angles is 180°)

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Property of Sum of Measures of Arcs
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2018-2019 (March) Balbharati Model Question Paper Set 2

संबंधित प्रश्‍न

In the given figure, ∆QRS is an equilateral triangle. Prove that,

  1. arc RS ≅ arc QS ≅ arc QR
  2. m(arc QRS) = 240°.

In the given figure, chord AB ≅ chord CD, Prove that, arc AC ≅ arc BD.


In the given figure, in a circle with centre O, length of chord AB is equal to the radius of the circle. Find measure of each of the following.
(1) ∠ AOB (2)∠ ACB
(3) arc AB (4) arc ACB.


In a cyclic ▢ABCD, twice the measure of ∠A is thrice the measure of ∠C. Find the measure of ∠C?


Points A, B, C are on a circle, such that m(arc AB) = m(arc BC) = 120°. No point, except point B, is common to the arcs. Which is the type of ∆ABC?


From the information given in the figure, find the measure of ∠ AEC.


In the given figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P, Q.
Prove that, ∠ PRQ + ∠ PSQ = 180°


In the figure given above, O is the centre of the circle. Using given information complete the following table:

Type of arc Name of the arc Measure of the arc
Minor arc `square` `square`
Major arc `square` `square`

What is the measure of a semicircular arc?


In figure, in a circle with center O, length of chord AB is equal to the radius of the circle. Find measure of each of the following.

  1. ∠AOB
  2. ∠ACB
  3. arc AB


In the figure, quadrilateral ABCD is cyclic. If m(arc BC) = 90° and ∠DBC = 55°, then find the measure of ∠BCD.


Chord AB and chord CD of a circle with centre 0 are congruent. If m(arc AB) = 120°, then find the m(arc CD).


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