Question

Find the measure of <_A. (show work if possible).

Answer 1

We know that exterior angle of a triangle is equal to the sum of two opposite interior angles.

Explanation:

Here we have

<A = 4y

<B = 3y + 6°

<BCD = 111°

Now

<BCD = <A + <B ( Exterior angle of a triangle is equal to the sum of two opposite interior angle)

111° = 4y + 3y + 6°

111°- 6° = 7y

105° = 7y

Therefore y = 15°

And the value of <A = 4*15° = 60°

Hope it helped you.