Question

in the given figure mlln and 'p' is a transversal.if angle1=4x+5 and angle2=6x-15 then find angles

Answer 1

Given,
m||n
p is transversal
angle 1=4x+5
angle 2=6x-15
To find,
Value of the angles
ATQ,
So,
angle 1=angle 2. [alt. ext. angles]
4x+5=6x-15
4x-6x=-15-5
-2x=-20
x=10

angle 1=4*10+5=40+5=45°
angle 2=6*10-15=60-15=45°

Hope it helps you!

Answer 2

Here...
According to question -
Angle 1=4x+5
Angle 2=6x-15

If m||n and p is the transversal
Then,
Angle 1=Angle 2
4x+5=6x-15
5+15=6x-4x
20=2x
20/2=x
10=x

Angle 1= 4*10-15=40-15=25
Angle 2=6*10-4*10=60-40=20

Hope you can understand it.