Question

In the figure the value of x is ...........
a) 60°
b) 45°
c) 30°​

Answer 1

Answer:

3y+5y+x = 180 (angle sum property)

8y+x =180

3y+ x= 7y { exterior angleproperty}

x= 7y-3y= 4y

putting value of x in 8y+x =180

8y+ 4y= 180

12y= 180

y= 15

x= 4y

x= 15 x 4= 60°

Answer 2

Step-by-step explanation:

7y + 5y = 180° { linear pair }

12y = 180°

y = 180 ÷ 12

y = 15°

Therefore ,

5y = 5 × 15 = 75°

3y = 3 × 15 = 45°

Now ,

75° + 45° + x = 180° { angle sum property of a triangle )

120° + x = 180

x = 180 - 120

x = 60°

Therefore ,

x = 60°. ans

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