What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)
Practice Questions
1 question
Q1
What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)
They are equal
The exterior angle is greater
The exterior angle is less
They are complementary
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Questions & Step-by-step Solutions
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Q
Q: What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)
Solution: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Steps: 5
Step 1: Understand what an exterior angle is. An exterior angle is formed when one side of a triangle is extended outside the triangle.
Step 2: Identify the two opposite interior angles. These are the angles inside the triangle that are not adjacent to the exterior angle.
Step 3: Remember the rule: The exterior angle is equal to the sum of the two opposite interior angles.
Step 4: If you have a triangle with angles A, B, and C, and you extend one side to form an exterior angle, that exterior angle will equal angle B + angle C.
Step 5: This relationship holds true for all triangles, regardless of their shape.
