Question

Use the diagram to find each missing angle.

Answer 1

Answer:

d=58°    a=133°

c=75°    b=15°

Step-by-step explanation:

90+32+d = 180° (linear pair)

122+d=180°

d= 180-122

 = 58°

c+d+47 = 180° (angle sum property for triangle)

c+58+47=180

c+105=180

c=180-105

 =75°

47°+a =180 (linear pair)

a=180-47

 =133°

32+a+b = 180 (angle sum property for triangle)

133+32+b=180

165+b=180

b=180-165

 =15°