a side of the triangle below has been extended to form an exterior angle of 153°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 153°. find the value of x.
Answer
Explanation:
Step1: Recall exterior - angle property
The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In this right - triangle, the exterior angle of 153° is equal to the sum of the right angle (90°) and the angle (x). So, (153^{\circ}=90^{\circ}+x).
Step2: Solve for (x)
Subtract 90° from both sides of the equation: (x = 153^{\circ}-90^{\circ}).
Answer:
(x = 63^{\circ})