The measures of two angles of a triangle are 35° and 45°. What is the measure of the third angle of the triangle?
A triangle has three sides and three angles, one at each vertex, bounded by a pair of adjacent sides.
Answer: The measure of the third angle of the triangle is 100°
Let's find the third angle of the given triangle.
The angle sum property states that the sum of the angles of a triangle is equal to 180°. In triangle ABC, ∠A + ∠B + ∠C = 180°.
Let the required angle be x°.
x° + 35° + 45° = 180°
x° + 80° = 180°
x° = 180° - 80°
x° = 100°