Question

In the given figure find the value of the unknown interior angle x in the following figure.​

Answer 1

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!!