Mathematics

Find the angles in a straight line


SOLUTION
Given ratio for the angles are:

$$x,2$$, and $$3$$

Since they form a straight line, sum of the angles must be 180.

Therefore, $$x+2x+3x=180$$

$$6x=180$$

$$\Rightarrow x=30$$

Therefore the angles are:
$$\angle x=30$$
angle $$ 2 = 2x =60$$
angle $$ 3 = 3x =90$$
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