Question

In triangle ABC, the measure of angle B is 50 degrees. Give possible values for the measures of angles A and C if ABC was an acute triangle.

Answer 1

60° and 70°

55° and 75°

Answer 2

Explanation:

An acute triangle is a triangle that has all the measures of its angles to be less than 90° i.e none of the angles is greater than 90°

Since of angles in a triangle is 180, hence <A + <B + <C = 180

Given

<B = 50

50 + <A + <C = 180°

<A + <C = 180-50

<A + <C = 130°

Note that all the angles of an acute triangle are also different

Hence the possible values of A and C are 60° and 70° (since their sum must give is 130°)

Another possible values are 55° and 75°