Angle Pairs Unit Test
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Question
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 ?
(1 point)
°
Since angles 1 and 2 form a right angle, the measure of angle 1 plus the measure of angle 2 equals 90 degrees.
m∠1 + m∠2 = 90
We are given that m∠2 = 47. Substituting this value into the equation, we have:
m∠1 + 47 = 90
To find the measure of angle 4, we need to find the measure of angle 1. We can solve for m∠1 by subtracting 47 from both sides:
m∠1 = 90 - 47 = 43
So, angle 4 (m∠4) would have the same measure as angle 1, which is 43 degrees.
Therefore, m∠4 = 43°.