Since angles 1 and 2 form a right angle, we know that angle 1 + angle 2 = 90 degrees. Since angle 2 is 47 degrees, we can substitute that into the equation to find angle 1:
angle 1 + 47 = 90
angle 1 = 90 - 47
angle 1 = 43 degrees
Since angle 1 and angle 4 are vertical angles (opposite angles formed by intersecting lines), they are equal in measure. Therefore, angle 4 is also 43 degrees.
Therefore, m∠4 = 43 degrees.
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)
1 answer
1 answer