Since angles p and q are equal, we can label both of them as x. Similarly, angles r and m are also equal, so we can label them as y.
From the given information, we know that the sum of the measures of angles in triangle CDE is 180 degrees. Therefore, we can write the equation:
x + x + 65 + y + x = 180
3x + y = 115
We also know that the sum of the measures of angles in quadrilateral MREC is 360 degrees. Since angles p and q are equal to angle MRE, we can rewrite this equation as:
x + x + y + x + y = 360
3x + 2y = 360
Now, we can solve these two equations simultaneously to find the values of x and y:
3x + y = 115
3x + 2y = 360
Subtracting the first equation from the second equation gives:
y = 245
Plugging the value of y back into the first equation, we find:
3x + 245 = 115
3x = -130
x = -43.33
Therefore, the measures of angles p and q are -43.33 degrees, and the measures of angles r and m are 245 degrees. Given that negative angle values do not make sense in this context, we need to reevaluate the information provided to find the correct solution.
CDE p q r m c equals 13 MD = 65 what are the measurement measures of angles for PQ and r m p equal and q equal MRE
1 answer
1 answer