Question 17

In the given figure.
[image]
The values of $$a$$ and $$x$$, respectively are

Solution

The interior angle $$a^\circ$$ and the exterior angle $$5a^\circ$$ at C lie on a straight line, so $$a + 5a = 180$$, giving $$a = 30$$. The exterior angle equals the sum of the two opposite interior angles, so $$5a = x + 4a$$, which gives $$x = a = 30$$. Hence $$a = 30$$ and $$x = 30$$.

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