Question

find the angle measure x in the following figure.​

Answer 1

Answer:

x = 50 °

Step-by-step explanation:

The given angles in question were,

90° , 70° , 60°, 90°

Now lets look at the 60° angle :

The adjacent angle at the interior of the pentagon is not given

So let's take that angle to be 'y'

Now let's apply the linear pair property

60° + y = 180° => y = 180 - 60 => y = 120°

However the 90° angle at the interior is already given

Now let's look at the 90° exterior angle

The adjacent angle at the interior is not given

Let that angle be 'z'

So ,now let's apply the linear pair property again

90° + z = 180° => z = 180- 90 => z = 90°

Now let's go to the 70° exterior angle

There is an adjacent interior angle for it which is not given

So let that me 'm'

Now let's apply the linear pair property

70° + m = 180 ° => m = 180- 70 => m = 110°

So no we have totally found 4 interior angles.

But a pentagon has 5 angles right!!

We have not found another

So let that be 'h'

So as we know the sum of interior angle in a pentagon is 540°

=>110° + 90° + 120° + 90° + h = 540°

=>410° + h = 540° => h = 540 - 410 =>h = 130°

So now look at angle x ,

the angle 130° is adjacent to it right

As we can see that 130° and x are linear pair angles

x + 130° = 180° => x = 180- 130

=> x = 50°

Hope this helps uh..!!!!!!!

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Answer 2

Answer:

Hey mate here is the answer for your question......

The value of the x= 50.....

Please mark as brainliest..