In ABC, angle A = 76, outside angle at apex B = 94, Find angle C.

From the condition it is known that the angle A = 76 ° in the triangle ABC, it is also known that the external angle at the vertex B is equal to 94 °. And we need to find the degree measure of the angle C.
We apply the theorem on the sum of the angles of a triangle to find the angle C. Let us recall the theorem. It says that the sum of the angles of the triangle is 180 °.
But first of all, we must find the degree measure of angle B. We know the outer angle at the vertex B. The sum of the outer and inner angles at one vertex is 180 °.
Looking for an inner corner:
180 ° – 94 ° = 86 °.
Angle C = 180 ° – (76 ° + 86 °) = 180 ° – 162 ° = 18 °.



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