MATH SOLVE

4 months ago

Q:
# Find the values of m and n

Accepted Solution

A:

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 sidesm = 180 - 160 - simplifym = 20°Hope this helps!