Question

In the given figure if l is parallel to m and t is transversal find x​

Answer 1

Step-by-step explanation:

let name the points first

the small triangle as you can see is

let say triangle ABC .

therefore angle

A=60

B=65(alternate interior angles )

angle sum property of triangle

A+B+C=180

60+65+C=180

C=55

C+x=180 (linear pair)

hence,x=125

Answer 2

Given:-

• l||M and "t" is a transversal.

• $\rm{\angle{MRT} = 65^{\circ}}$ & $\rm{\angle{PST} = 60^{\circ}}$

To Find:-

• The value of "x".

Concept used:-

• Alternate angle axiom - If two lines are parallel and it is intersected by transversal then Alternate angles are equal.

• Exterior angle Property - Sum of two angles of triangle is equal to the exterior angle adjacent to that triangle

Now,

Since, L || M and "t" is transversal

→ $\rm{\angle{MRA} = \angle{PTS} = 65^{\circ}}$ (Alternate interior angle).

Therefore,

In ∆PST

→ $\rm{\angle{PST} + \angle{PTS} = \angle{x}}$

→ $\rm{60^{\circ} + 65^{\circ} = 125^{\circ}}$.

Hence, The Value of x is 125°.