Mathematics

In the figure if Line l || m and the line n is the transversal then find the value of a and b


SOLUTION
Given:$$l\parallel m$$

sum of the interior angles on the same side of transversal is $${180}^{\circ}$$

$$b+{52}^{\circ}={180}^{\circ}$$

$$\Rightarrow b={180}^{\circ}-{52}^{\circ}={128}^{\circ}$$

And $$a={52}^{\circ}$$

$$\therefore a={52}^{\circ},\,\,b={128}^{\circ}$$
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