Mathematics

In the given figure, magnitude of angles shown are:


ANSWER

$$\displaystyle 45^{\circ},135^{\circ}$$


SOLUTION
In the figure, angles form linear pair.
Thus their sum is equal to $$180^o$$.
Therefore, $$\displaystyle X+3X=4X^{\circ}=180^o$$
$$\displaystyle X =\frac{180^{\circ}}{4}=45^{\circ}$$
$$\displaystyle X =45^{\circ} $$ and $$3X = 135^{\circ}$$
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