Use the image to answer the 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+
°=
°
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To answer this question, we can use the fact that the sum of the angles in a triangle is 180°.
In this case, we can see that angle 8 is a right angle (90°) and angle 1 is also a right angle (90°). This means that the sum of angles 1 and 8 is 180° - 90° - 90° = 0°.
Since angles 7 and 1 are adjacent angles (next to each other on the same line), we can write an equation to find the value of angle 7:
m∠7 + 0° = 180°
Simplifying this equation gives us:
m∠7 = 180° - 0°
Therefore, the equation to find the value of m∠7 is:
m∠7 = 180°