Final answer:
To find the missing interior angle(s) of a triangle, set up the equation x + (x-35) + 43 = 180 and solve for x. The missing interior angles are 86° and (86-35)°, which simplifies to 51°. The answer is B) 77°.
Step-by-step explanation:
To find the missing interior angle(s) of a triangle, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees. In this case, we have the angles x°, (x-35)°, and 43°. To find the value of x, we can set up the equation x + (x-35) + 43 = 180 and solve for x.
Simplifying the equation, we get 2x - 35 + 43 = 180. Combining like terms, we have 2x + 8 = 180. Subtracting 8 from both sides, we get 2x = 172. Finally, dividing both sides by 2, we find that x = 86.
Therefore, the missing interior angles of the triangle are 86° and (86-35)°, which simplifies to 51°. So the answer is B) 77°.