Home
Class 9
MATHS
In Fig. 6.24, if P Q||R S ,/M X Q=135^@\...

In Fig. 6.24, if `P Q||R S ,/_M X Q=135^@\ a n d/_M Y R=40^@,\ "find" /_X M Y`..

Text Solution

Verified by Experts

Draw a line AB parallel to PQ, so AB∥PQ and PQ∥RS, so AB∥RS.
It is known that the sum of two interior angles on the same side is `180 ^ ∘` , therefore,
`∠QXM+∠XMB=180 ^ ∘` ...
Promotional Banner

Topper's Solved these Questions

  • 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 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. 6.32, if A B||C D , /_A P Q=50^@ and /_P R D=127^@ , find x and y.

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. 6.42, 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. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

In Fig. 4.230, each of P A ,\ Q B ,\ R C and S D is perpendicular to l . If A B=6c m , B C=9c m , C D=12 c m and P S=36 c m , then determine P Q ,\ Q R and R S . (FIGURE)

In Fig. 4.245, R S D B P Q . If C P=P D=11 c m and D R=R A=3c m . Then the values of x and y are respectively (FIGURE) 12 , 10 (b) 14 , 6 (c) 10 , 7 (d) 16 , 8

In Figure, /_Q P R=\ /_P Q R\ a n d\ M\ a n d\ N are respectively on sides Q R\ a n d\ P R of P Q R\ such that Q M=P Ndot Prove that O P=O Q , where O is the point of intersection of P M\ a n d\ Q N

In Fig. 4.177, A C B A P Q . If B C=10 c m , P Q=5c m , B A=6. 5 c m and A P=2. 8 c m find C A and A Q . Also, find the area ( A C B): a r e a ( A P Q) . (FIGURE)