Home
Class 9
MATHS
In Fig. 6.31, if P Q || S T ,/P Q R=110^...

In Fig. 6.31, if `P Q || S T ,``/_P Q R=110^@``\ a n d ``/_R S T=130^@`, find `/_Q R S`.

Text Solution

Verified by Experts

Interior angles on the same side of the transversal:The pair of interior angles on the same side of the transversal are called consecutive interior angles or allied angles or co interior angles.
If a transversal intersects two Parallel Lines then each pair of interior angles on the same side of the transversal is supplementary.
If a transversal intersects two lines such that a pair of alternate interior angles is equal then the two lines are parallel.

SOLUTION : ...
Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    NCERT|Exercise SOLVED EXAMPLES|8 Videos

  • LINES AND ANGLES

    NCERT|Exercise Exercise 6.1|6 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise EXERCISE 4.4|2 Videos

  • NCERT THEOREMS

    NCERT|Exercise THEOREM 10.12|1 Videos

Similar Questions

Explore conceptually related problems

In Fig. 6.43, if P Q_|_P S , P Q|| S R , /_S Q R=28^@ and /_Q R T=65^@ , then find the values of x and y.

In Fig. 6.39, sides QP and RQ of DeltaP Q R are produced to point S and T respectively. If /_S P R=135^@ and /_P Q T=110^@ , find /_P R Q.

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

In Fig. 6.42, if lines PQ and RS intersect at point T, such that /_P R T=40^@, /_R P T=95^@ and /_T S Q=75^@, find /_S Q T .

In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE)

In Fig. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE)

In Fig. 4.100, if (Q T)/(P R)=(Q R)/(Q S) and /_1=/_2 . Prove that P Q S ~ T Q R . (FIGURE)

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

What should come next in the following letter series ? P Q P Q R P Q R S P Q R S T P Q R S T L P Q R S T U V P Q R S T

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .