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# 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 measures of two angles of a triangle are 35° and 45°. The measure of the third angle of the triangle is 100°

Let's find the third angle of the given triangle.

**Explanation:**

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°

### Thus, the measure of the third angle of the triangle is 100°, if the measures of two angles of a triangle are given as 35° and 45°.

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