Question

PLEASE ANSWER 20 POINTS!

Answer 1

To find the measure angles B, C and F, you will need to know that the sum of all the angles in a triangle total 180 degrees and the sum of all the angles in a quadrilateral equal 360 degrees.

1.  Start with what you know:  angles I, E, and H needs to equal 180 (it is a straight line).  180 - 56 - 90 = 34 degrees.

H = 34 degrees

2.  Angles H, G, and A must equal 180, so 180-34-38 = 108 degrees

G = 108 degrees.

3.  Angles G and F must equal 180 degrees (straight line), so 180-108 = 72

F = 72 degrees

4.  Angles E, D, F, and C must equal 360, so 360-180-72 = 108

C = 108 degrees

5.  Angles J and D must add up to 180 (straight line); so 180-90=90

J = 90 degrees

6.  Angles B, I, and J must add up to 180, so 180-56-90=34
 
B = 34 degrees