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Similarly the exterior angle 5 is larger than either remote interior angle 7 and 8.
Exterior angle inequality theorem example. Therefore m 2 m 8 and m 5 m measures greater than m 7 628721 By the Exterior Angle Inequality Theorem the exterior angle 9 is larger than either remote interior angle 6 and 7. Find the values of x and y in the following triangle. C d 180 a f 180 b e 180 All exterior angles of a triangle add up to 360.
A triangle Δ A B C. So m Q R S m P and m Q R S m Q. A triangle has three sides three vertices and three interior angles.
The sum of exterior angle and interior angle is equal to 180 degrees. Measures less than 165 1 2 measures greater than m 7 165 3 5 9 measures greater than m 2 165 9 measures less than m 9 165 1 2 6 7 List the angles and sides of each triangle in order from smallest to largest. X 160º4 40º.
By the Exterior Angle Inequality Theorem the exterior angle 4 is greater than either remote interior angle 1 and 2Therefore m 1 m 4 and m m 4. For example what inequality relates these angles. Exterior Angle Inequality The measure of an exterior angle of a triangle is greater than the mesaure of either opposite interior angle.
Properties of exterior angles. This can be expressed in words. By the Exterior Angle Inequality Theorem the exterior angle 2 is larger than either remote interior angle 6 and 8.
Exterior angle of triangle 160º. If a side of a triangle is produced the exterior angle so formed is equal to the sum of the two interior opposite angles. 4 rows Example 1.
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