prove that the angle contained by the bisectors of any two consecutive angles of a quadrilateral is equal to half the sum of the remaining angles .
Answers
Step-by-step explanation:
Given :
Selling price of car is $126000.
Gain Percent is 5%.
To find:
Price should he sell the car for gain of 10% or Selling price of car for gain 10%.
Solution :
We have to find selling price of car for gain Percent 10%. For this we need to find cost price first. For finding cost price we will use gain and gain percent formula. Formula is :
• Gain = Selling price (S.P) - Cost price (C.P)
→ Gain = 126000 - C.P
Gain Percent formula :
• \pmb{\sf Gain\: Percent = \bigg( \dfrac{Gain}{C.P} \bigg) \times 100}
GainPercent=(
C.P
Gain
)×100
GainPercent=(
C.P
Gain
)×100
Put, Gain Percent and gain in formula:
\implies \sf 5 = \bigg( \dfrac{126000 - C.P}{C.P} \bigg) \times 100
Answer:
Step-by-step explanation:
As ABCD is a parallelogram
AD||BC and AB is a transversal.
DAB + ABC = 180o [Angles on the same side of transversaL]
1 + 2 = 90 degrees
In AOB ,1 + 2 + AOB = 180degrees (angle sum property)
90 degrees + AOB = 180 degrees
AOB = 90 degrees
Therefore, the bisectors of any two consecutive angles of parallelogram intersect at right angles.
