Question

Please someone explain

Triangles and angles


X=______ degrees


X 48




96

Answer 1

144°

Explanation:

x is an exterior angle of the triangle.

Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

x = 48 + 96

x = 144

Answer: 144°

Answer 2

Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle

x= 48+96

x= 144°