find the value of x.\nx =
find the value of x.\nx =
Answer
Explanation:
Step1: Use exterior - angle property
The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the triangle have interior angles (x), (75^{\circ}) and the non - shown interior angle adjacent to the (130^{\circ}) exterior angle. We know that (130^{\circ}=x + 75^{\circ}).
Step2: Solve for (x)
Subtract (75^{\circ}) from both sides of the equation (130^{\circ}=x + 75^{\circ}). So, (x=130^{\circ}-75^{\circ}).
Answer:
(55^{\circ})