Question

Calculate the measure of each lettered angle in the above figure (Parallel lines, segment or rays are denoted by thick matching arrows).

Answer 1

In the given figure,
$$\angle c=72^{0}$$ (Alternate angles)
$$\angle a=55^{0}$$ (Corresponding angles)
But $$\angle b+\angle c+55^{0}=180^{0}$$
(Angles on one side of a straight line)
$$\angle b+72^{0}+55^{0}=180^{0}$$
$$\angle b+127^{0}=180^{0}$$
$$\angle b=180^{0}-127^{0}=53^{0}$$
Here, $$\angle a=55^{0},\angle b=53^{0},\angle c=72^{0}$$