Q:

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?

Accepted Solution

A:
The measure of third angle is 70 degreeSolution:Given that, a navel distress signal flag is in the shape of a triangleTwo of the three angles measure 55 degrees eachWe know that there are three angles in triangleThe 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 = 55By angle sum property of triangle,Angle A + angle B + angle C = 180 degree55 + 55 + angle C = 180110 + angle C = 180angle C = 180 - 110 = 70 degreeThus the measure of third angle is 70 degree