Answer:
a= 102 degrees
b= 78 degrees
c= 24 degrees
d= 24 degrees
e= 156 degrees
f= 78 degrees
g= 78 degrees
h= 51 degrees
m= 129 degrees
l= 51 degrees
k= 78 degrees
Step-by-step explanation:
a= 180-78, as angles at a point on a straight-line total 180 degrees
=102 degrees
b= 78 degrees, as alternate angles (angles created in the top and bottom of the z shape made by a line that crosses two parallel lines-- I would suggest googling a diagram) are equal
c= 180-(2 x 78), as angles at a point on a straight-line total 180 degrees and two of the angles are equal
=24 degrees
d= 180-(2 x 78), as angles in a triangle total 180 degrees and two of the angles are equal
= 24 degrees
e= 180-24, as angles at a point on a straight-line total 180 degrees
= 156 degrees
f=g= 156/2 as angles in a triangle total 180 degrees and the triangle is isosceles; using the fact that angles at a point on a straight-line total 180 degrees to work out the third angle in the triangle (180- e)
=78 degrees
h= (180-78)/2 as angles in a triangle total 180 degrees and the triangle is isosceles; the third angle in the triangle is equal to f because they are vertically opposite (again, to understand this, it is probably easier to google a diagram), which is what allows us to work this out.
=51 degrees
m= 180-51 as angles at a point on a straight line total 180 degrees and the angle at the bottom must be 51 as it is one of the two equal angles in the isosceles triangle
=129 degrees
l= 51 degrees as alternate angles are equal
k=180-102 as angles at a point on a straight-line total 180 degrees
=78 degrees
