What is true about the interior and exterior angle measures of a triangle?
about the interior and exterior angles of a triangle and other polygons? linear pair with its adjacent interior angle , so the sum of their measures is 180°. In a triangle , the measure of an exterior angle is equal to the sum of the measures of its two remote interior angles .
Which is a true statement about exterior angle of a triangle?
Answer Expert Verified As we know that the exterior angles are always out of the triangle and it makes a sum of 180 with anyone of the internal angle of the triangle .
Which statement regarding the interior and exterior angles of a triangle is always true an exterior angle is supplementary to the adjacent interior angle?
The correct answer is: An exterior angle is supplementary to the adjacent interior angle .
What are the interior angles of a triangle equal to?
In a Euclidean space, the sum of angles of a triangle equals the straight angle ( 180 degrees , π radians, two right angles, or a half-turn).
What is the measure of the exterior angle of a triangle?
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.)
What is the relationship between interior and exterior angles?
The angles on the inside are called Interior angles . The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.
Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?
Answer. A.a straight line. Because in a straight line the angle is 180 degree and according to the angle sum property of triangle , sum of all interior angles in a triangle is 180 degree.
Which new angle is created by extending one side of a triangle?
Exterior angles In the picture below, the angles ∠ABC, ∠BCA and ∠CAB are the three interior angles of the triangle . An exterior angle is formed by extending one of the sides of the triangle ; the angle between the extended side and the other side is the exterior angle . In the picture, angle ∠ACD is an exterior angle .
What is always true about the angles of an isosceles triangle?
All three angles are congruent.
Which set of angles could be the interior angles of a triangle?
Answer: 19° ,70° and 91° only one represent the interior angle of triangle .
Why do the interior angles of a triangle add to 180?
You basically have a straight line. Can you see WHY the sum of the angles in this triangle is 180 ? Because two angles are zero and top is a straight line, and a line is 180 degrees!
How do you find the interior and exterior angles of a triangle?
Because the interior angles of a triangle add to 180°, and angles c+d also add to 180°: The interior angles of a triangle add to 180°:a + b + c = 180° Angles c and d make a straight angle , which is 180°:d + c = 180° So d + c equals a + b + c:d + c = a + b + c. Subtract c from both sides:d = a + b.