Home
Class 9
MATHS
In Fig. 6.42, if lines PQ and RS inters...

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`.

Text Solution

Verified by Experts

`/_ PRT`
`anglePRT+angleRPT+anglePTR=180^0`
`40^o +95^o +anglePTR=180^o`
`anglePTR=45^0`
`angleQTS=anglePTR`
`angleQTS=45^o`
`/_SQT`
`angleSQT+angleQTS+angleTSQ=180^o`
...
Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    NCERT|Exercise Exercise 6.1|6 Videos

  • LINES AND ANGLES

    NCERT|Exercise EXERCISE 6.2|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 Figure,if lines PQ and RS intersect at a point T such that /_PRT=40^(0),/_RPT=95^(0) and /_TSQ=75^(@) find /_SQT

In figure,if lines PQ and RS intersect at a point T such that PRT=40^(@),/_RPT=95^(@) and /_TSQ=75^(@), find /_SQT. Figure

In the given figure lines PQ and RS intersect at point T such that anglePRT=40^(@) angleRPT=95^(@) and angleTSQ=75^(@) find angleSQT

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

In Fig. 4.238, S and T are points on the sides P Q and P R respectively of P Q R such that P T=2c m , T R=4c m and S T is parallel to Q R . Find the ratio of the areas of P S T and P Q R . (FIGURE)

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 .

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

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.

Point of intersection of normal at P(t1) and Q(t2)