Answer:
m1=m2 = 111 degrees
Step-by-step explanation:
1. construct a line between angles 1 and 2
//now we have 2 triangles. They are both isoscles triangles.
3. m(base angles in 90 triangle) = (180-90)/2 = 45 degrees. (base angle th.)
4. m(base angles in 48 triangle) = (180-48)/2 = 66degrees. (base angle th.)
5. m1 = 66+ 45 = 111 degrees. (algebra)
6. m2=m1 = 66+45 =111 degrees (algebra)
check:
sum of all angles has to add up to 360 degrees.
48 + 90+ 111+111=360
360=360
