Answer:
m = 20°, n = 35°
Step-by-step explanation:
First, find n. We know that the base angles of an isosceles triangle are equal and that angles in a triangle add up to 180°. This means that:
- 110 + n + n = 180° - now simplify:
- 110 + 2n = 180° - subtract 110 from both sides:
- 2n = 180 - 110 - simplify again:
- 2n = 70° - divide both sides by 2:
- n = 35°
Now we know n, we can find m. The whole diagram is a triangle with angles of 90°, 35° (n) and the final angle can be split into m + n (m + 35°). This means that 125° + m + 35 = 180° (125 came from doing 90 + 35):
- 125 + m + 35 = 180° - now simplify:
- 160 + m = 180° - subtract 160 from both sides
- m = 180 - 160 - simplify
- m = 20°
Hope this helps!
