Question

Triangle P is similar to triangle Q. Triangle P has two angles with measures of 41° and 82°. What 3 angle measures are in triangle Q?

Answer 1

Since triangles P and Q are similar, their corresponding angles are equal. Therefore, the angles in triangle Q would also be 41° and 82°. To find the measure of the third angle in triangle Q, we can use the fact that the sum of the angles in a triangle is always 180°:

41° + 82° + x = 180°
123° + x = 180°
x = 57°

Therefore, the three angle measures in triangle Q are 41°, 82°, and 57°.