In the given figure find the value of the unknown interior angle x in the following figure.
![In the given figure find the value of the unknown interior angle x in the following figure class=](https://us-static.z-dn.net/files/db9/c6fb8b96056c89417ea5192a00f03b0b.jpg)
Answer:
Therefore, the measure of angles x is 55°.
Step-by-step explanation:
From the given figure ,
105° is the exterior angle
x° and 50° are the two interior opposite angles to 105°
We know that
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles
⇛ x° + 50° = 105°
⇛ x° = 105°-50°
⇛ x° = 55°
Therefore , x = 55°
Exterior Angle:↓
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.
Hope this helps!!