.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 ?(1 point)°Skip to navigation

1 answer

If angles 1 and 2 form a right angle, then the sum of their measures should be 90 degrees.

So, if angle 2 is 47 degrees, then angle 1 must be 90 - 47 = 43 degrees.

Since angles 1 and 2 are adjacent angles, angle 3 is also 43 degrees.

Angles 1, 2, 3, and 4 form a straight line, so their measures must add up to 180 degrees.

Therefore, the measure of angle 4 is 180 - (43 + 47 + 43) = 180 - 133 = 47 degrees.

So, m∠4 is 47 degrees.
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