Use the image to answer the question.

Question

An illustration shows a rectangle which is segmented left to right into a right triangle, a trapezoid in the middle, and another right triangle. The sides of the rectangle form the sides of the triangles. The top corners of the rectangle are denoted by two right angle symbols. The middle trapezoid is formed by two slanting lines from each of the top corners to the base of the rectangle. The angles formed by the two slanted lines, which become the hypotenuse of each right triangle, are labeled from 1 to 8 in clockwise direction starting from the top of the left side.

If m∠8=45°
, what equation can you write to find the value of m∠7
?

(1 point)
m∠7+__°=__°

Answer 1

To find the equation for \( m∠7 \) based on the information given, we can use the fact that the angles formed at the point where the two slanted lines meet (which are essentially supplementary to each other) must sum up to 180° because they are adjacent angles.

Since you mentioned that \( m∠8 = 45° \), we can set up the equation as follows:

\[ m∠7 + m∠8 = 180° \]

Substituting \( m∠8 \):

\[ m∠7 + 45° = 180° \]

Thus, you can complete the equation as:

\[ m∠7 + 45° = 180° \]

So the equation to find the value of \( m∠7 \) is:

m∠7 + 45° = 180°.