The measure of x is 6.9 ° when x is found from the sum of the angles in a triangle.
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
The sum of angles in a triangle is 180°
40°+(8x+7)°+(9x+16)° = 180°
40 + 8x + 7 + 9x + 16 = 180°
40 + 7 + 16 + 8x + 9x = 180°
63 + 17x = 180°
17x = 180 - 63
17x = 117
x = 117 ÷ 17
x = 6.9 °
The complete question is: M∠qps=40°, m∠rps = (8x + 7)°, and m∠qpr = (9x + 16)°. find the measure of x. show your work.
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