![]() Hence, the value of x and y is 88° and 47°, respectively. Find the value of x if the opposite non-adjacent interior angles are (4x + 40) ° and 60°.Įxterior angle = sum of two opposite non-adjacent interior angles.ĭetermine the value of x and y in the figure below.Īpply the triangle exterior angle theorem. For each diagram, decide which equation you agree with, and solve it. The exterior angle of a triangle is 120°. Elena and Diego each wrote equations to represent these diagrams. Therefore, the values of x and y are 140° and 40°, respectively. The sum of exterior angle and interior angle is equal to 180 degrees (property of exterior angles). It is clear from the figure that y is an interior angle and x is an exterior angle. Therefore, the angles are 25°, 40° and 65°.Ĭalculate values of x and y in the following triangle. Substitute the value of x into the three equations. Given that for a triangle, the two interior angles 25° and (x + 15) ° are non-adjacent to an exterior angle (3x – 10) °, find the value of x.Īpply the triangle exterior angle theorem: Let’s take a look at a few example problems. It is because wherever there is an exterior angle, there is an interior angle with it, and both add up to 180 degrees. Rules to find the exterior angles of a triangle are pretty similar to the rules to find the interior angles. = 360° How to Find the Exterior Angles of a Triangle? ![]()
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