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

To find the measure of angle 4 (m∠4), we need to use the fact that angles 1 and 2 together form a right angle.

A right angle measures 90 degrees.

Angles 1 and 2 together form a right angle, so m∠1 + m∠2 = 90.

m∠2 is given as 47 degrees, so we can substitute this into the equation.

m∠1 + 47 = 90

Now we can solve for m∠1.

m∠1 = 90 - 47

m∠1 = 43

Therefore, the measure of angle 4 (m∠4) is 43 degrees.