Math, asked by annusinghannu62, 6 months ago

8. Five lines intersect as shown in the given figure.
If lines I, m and n are parallel, then what is the measure of (x + y)?

Attachments:

Answers

Answered by aasthabhanushali4124
1

Step-by-step explanation:

ANSWER

As per diagram,

l∣∣m∣∣n and p is transversal.

We know that 60

o

and ∠4 angles on a straight line.

60+∠4=180

o

∴∠4=120

o

We know that corresponding angle are equal

∠1=∠4 [ ∵ l∣∣m and p is transversal ]

∠1=∠2 [ ∵ m∣∣n and p is transversal ]

=> ∠1=∠4=120

o

[ ∵ ∠4=120

o

]

∠1=∠2=∠4=120

o

We know that vertically opposite angles are equal.

∠3=∠2

=> ∠3=120

o

[ ∵ ∠4=120

o

]

∴∠1=∠2=∠3=∠4=120

o

Answered by amitverma48313
10

Step-by-step explanation:

angle X =45 ( corresponding angle )

angle X = 45

50+45 + Z =180 ( liner pair )

95 + Z = 180

Z = 180 - 95 = 85

According to Question ( A.T.Q )

X + Y

85 +45 = 130 ( value of X )

85 + 50 = 135 ( value of Y )

X + Y = 130 +135 = 265

Answer = 265

I hope it's helpful for you

please give me brainliest mark

Similar questions