3 years ago

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

1 answer:

4 0

Answer:

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

Step-by-step explanation:

<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°

The measure of <A = 4*15°= 60°

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IceJOKER [234]

Answer:

111°

Step-by-step explanation:

All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.

Ignore the line cutting between 45° and the 30° and consider it as one triangle
Add them to get 75°
Now you have two known angles 75° and 36°
To get angle x add 75° and 36° to get 111°
Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.