Question

find a, b, c, d if l||m

Answer 1

Answer:

1. find d

as we see d and 132° make a linear pair

so

d+132°=180°

d=180°-132°

d=48°

2. find b

as we see d and b are alternate interior angles

so, d=b

48°=b

b=48°

3. find a

as we see d, 65° and a are making a triangle and if we add all angles of triangle we get 180°

so,

a+d+65°=180°

a+48°+65°=180°

a+113°=180°

a=180°-113°

a=65°

4. find c

as we see a,b and c are in a straight line(180°)

so, a+b+c=180°

65°+48°+c=180°

113°+c=180°

c=180°-113°

c=65°