Question

find the measure of x in the given figure.



answer= 110°
full explanation ke saath answer...!!​

Answer 1

Answer:

110 degree I think it's perfect answer because the line of 45 degree is crosses the line of 40 degrees to its downside and its make angle of x...

Step-by-step explanation:

follow me please

Answer 2

${\huge{\boxed{ \huge{ \boxed{\bf{\underline{ \underline{ \blue{ \bigstar{Answer}{ \bigstar}}}}}}}}}}$

$\bf \angle x = 110 ^{\circ}$

Step-by-step explanation:

In order to solve this question you have to know about Exterior Angle property of Polygons. This property states that the sum of exterior angles of a polygon is 360°.

Here in this question Exterior Angles are

• 40°

• 65°

• 100°

• 45°

• $\angle x$

Now Let us Find $\angle x$ using this Property

So, Exterior Angle Property States that the sum of exterior angles of a polygon is 360°.

So,

• 40 + 65 + 100 + 45 + x = 360

• 250 + x = 360

• x = 360 - 250

• $\bf \angle x = 110°$

$\ \huge{ \boxed{ \boxed{ \sf{ \purple{ { \underline{ \underline{ Checking}}}}}}}}$

To check our answer we have to add all the exterior angles of the polygon and check whether the sum is 360°.

Exterior Angles are

• 40°
• 65°

• 100°

• 45°

• 110°

Sum = 40 + 65 + 100 + 45 + 110 = 360

360 = 360

Hence Verified ✔✔