Triangle Sum Theorem Worksheet
Grade 12 worksheet focusing on the Triangle Sum Theorem, including various problem types and applications.
Includes
Standards
Topics
Triangle Sum Theorem Practice
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Date:
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Read each question carefully and solve for the unknown angles using the Triangle Sum Theorem. Show all your work.
1. In triangle ABC, if angle A = 65° and angle B = 45°, what is the measure of angle C?
2. A triangle has angles measuring (2x + 10)°, (3x - 5)°, and (x + 15)°. Find the value of x: and the measure of each angle: Angle 1: , Angle 2: , Angle 3: .
3. A triangle has angles 30°, 60°, and 90°. What type of triangle is it?
Equilateral
Isosceles
Right-angled
Obtuse
4. In triangle XYZ, the exterior angle at Z is 120°. If angle X = 70°, find the measure of angle Y.
5. The sum of the interior angles of any quadrilateral is 180°.
True
False
6. Consider a triangle with angles (4a)°, (2a + 30)°, and (a + 10)°. Find the value of 'a' and the measure of each angle.