Use the properties of exterior angles of triangles to find angle b one hundred forty two degrees

1 answer

According to the properties of exterior angles of triangles, the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Let's assume \angle a is one of the remote interior angles of the triangle.

Therefore, the measure of the exterior angle is given by:

\angle b = \angle a + \angle c

Since we know that the measure of \angle b is 142 degrees, we can conclude that:

142 = \angle a + \angle c

However, without knowing the measure of \angle c, we cannot determine the exact value of \angle b just by knowing it is 142 degrees.