a side of the triangle below has been extended to form an exterior angle of 118°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 118°. find the value of x.
Answer
Explanation:
Step1: Use the exterior angle property
The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, one of the non - adjacent interior angles is (90^{\circ}) (right angle) and the other is (x). The exterior angle is (118^{\circ}). So, (x + 90^{\circ}=118^{\circ}).
Step2: Solve for (x)
Subtract (90^{\circ}) from both sides of the equation (x + 90^{\circ}=118^{\circ}). (x=118^{\circ}-90^{\circ})
Answer:
(x = 28^{\circ})