Question

social security answer for me to drop down menu. in the figure, angle I measures 56° and angle a measures 38°. the measurement of angle b is ___the measurement of angle c is___the measurement of angle f is ___.

Answer 1

Step 1

List given parameters

I = 56 and A = 38

E = 90 , D = 90

I + E + H = 180 Sum of angles on a straight line.

56 + 90 + H = 180

146 + H = 180

H = 180 - 146

H = 34

H + G + A = 180 Sum of angles in a straight line.

34 + G + 38 = 180

G + 72 = 180

G = 180 - 72

G = 108

F + G = 180 Sum of angles on a straight line

F + 108 = 180

F = 180 - 108

F = 72

C + D + E + F = 360 Sum of angles in a quadrilateral

C + 90 + 90 + 72 = 360

C + 252 = 360

C = 360 - 252

C = 108

B + C + A = 180 Sum of angles in a triangle.

B + 108 + 38 = 180

B + 146 = 180

B = 180 - 146

B = 34

Therefore,

B = 34

C = 108

F = 72