Final answer:
Without additional context, we cannot definitively solve for m3 with only the values of m1 (27°) and m2 (90°) given. However, assuming they are angles in a right triangle, we can use the sum of angles in a triangle principle to find m3, which would be equal to 63°.
Step-by-step explanation:
To solve for m3, we need more information about how these angles (m1 and m2) are related. Given that m1 is 27° and m2 is 90°, it's possible that you are referring to the angles within a right triangle, or perhaps the angles are supplementary or complementary depending on their relationship to each other. However, we can't calculate m3 without understanding the context of these angles. In geometry, the sum of the angles in a triangle is always 180°. Thus, if m1 and m2 are angles in a right triangle, m3 would be found using the equation m3 = 180° - m1 - m2. Since m1 + m2 = 27° + 90° = 117°, then m3 = 180° - 117° = 63°.