In an acute-angled triangle ABC, the outer angle at the apex A is 146 degrees. Find the value of angle C if angle B is 62.

A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.

Since the sum of the outer and inner angles of the triangle is 180º, then:

∠А = 180º – φ;

∠А = 180º – 146º = 34º.

Since the sum of all the angles of the triangle is 180º, and the angle ∠В is 62º, then:

∠С = 180º – 34º – 62º = 84º.

Answer: the degree measure of the angle ∠С is equal to 84º.