Use the image to answer the question.

An illustration shows five rays emerging from a point labeled A, forming the following angles from left to right: 1, 2, 3, 4, and 5. Angles 1 and 2 together form a right angle.

If m∠2=47° , what is m∠4 ?

2 answers

Since angles 1 and 2 together form a right angle, we know that m∠1 + m∠2 = 90°.
We are given that m∠2 = 47°, so substituting this value in the equation above, we can solve for m∠1:
m∠1 + 47° = 90°
m∠1 = 90° - 47°
m∠1 = 43°

Since the sum of the angles in a straight line is 180°, we can find m∠4 by subtracting the other angles from 180°:
m∠4 = 180° - m∠1 - m∠2 - m∠3 - m∠5
Substituting the known values:
m∠4 = 180° - 43° - 47° - (m∠3) - (m∠5)

Unfortunately, we do not know the values of m∠3 and m∠5 from the given information or illustration. Therefore, we cannot determine the exact value of m∠4 without additional information.
because theres a straight line connecting 2 and 4, it is reasonable to say that 4 is 133 degrees
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