Question

Find the measure of <_B. (Show your work if possible).

Answer 1

Answer:

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

Step-by-step explanation:

Here

<A = 4y

<B = 3y + 14°

<BCD = 119°

Now

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

119° = 4y + 3y + 14°

119°- 14° = 7y

105° = 7y

Therefore y = 15°

Now < B = 3y + 14°= 3*15° + 14°=59°