Question

A navel distress signal flag is in the shape of a triangle. Two of the three angles measure 55 degrees each. What is the measure of the third angle?

Answer 1

The measure of third angle is 70 degree

Solution:

Given that, a navel distress signal flag is in the shape of a triangle

Two of the three angles measure 55 degrees each

We know that there are three angles in triangle

The angle sum property of a triangle states that the angles of a triangle always add up to 180°

Every triangle has three angles and whether it is an acute, obtuse, or right triangle, the angles sum to 180°

Let three angles be "A", "B", "C"

Given that two angles measure 55 degrees each. Let say angle A = angle B = 55

By angle sum property of triangle,

Angle A + angle B + angle C = 180 degree

55 + 55 + angle C = 180

110 + angle C = 180

angle C = 180 - 110 = 70 degree

Thus the measure of third angle is 70 degree