Question

Find x from the given figure

Answer 1

Answer:

base angle =

70-x=180. 60-y=180

x= 110 y=120

therefore , 30 +110+120+2z=360

2z=360-260

2z=100

z=50

Answer 2

Step-by-step explanation:

Question :

Find x in the given figure.

Solution :

If we observe the figure it is made up of 5 lines. Means we can say that its a pentagon.

So, we need to find sum of all the interior angles. Formula for that is :

★ 180° × (n - 2)

• Where n stands for number of sides.

➸ 180° × (5 - 2)

➸ 180° × 3

➸ 540°

Sum of all the interior angles is 540°.

Now,

If we see the figure it's forming linear pair on the bases.

Let the angle be y.

70° + y° = 180°

y° = 180° - 70°

y° = 110°

Now the second one,

Let the angle be z.

60° + z° = 180°

z° = 180° - 60°

z° = 120°

According to the question,

➛ 30° + x° + x° + 110° + 120° = 540°

➛ 30° + 230° + 2x° = 540°

➛ 260° + 2x° = 540°

➛2x° = 540° - 260°

➛ 2x° = 280°

➛ x° = 280/2

➛ x° = 140°

∴ Value of x is 140°.