a side of the triangle below has been extended to form an exterior angle of 133°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 133°. 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.
Step2: Set up the equation
Let the right - angled triangle have non - adjacent interior angles (x) and (90^{\circ}), and the exterior angle is (133^{\circ}). So, (x + 90^{\circ}=133^{\circ}).
Step3: Solve for (x)
Subtract (90^{\circ}) from both sides of the equation: (x=133^{\circ}-90^{\circ}).
Answer:
(43^{\circ})