The value of the required angle is obtained as 65 degrees
Alternate angles, also known as alternate interior angles, are a pair of angles that are formed on opposite sides of a transversal line when two other lines are intersected by the transversal.
Understanding the properties of alternate angles is essential in geometry and helps in solving problems related to parallel lines and transversals.
We can see that;
m_26 + m_28 = 180(angles on a straight line)
2x - 5 + x + 5 = 180
2x + x - 5 + 5 = 180
3x = 180
x = 60
m_28 = mz37 (alternate angles)
m_28 = (x + 5)
Where x = 60
60 + 5 = 65 degrees
Missing parts;
m_26 is (2x - 5) and m_28 is (x + 5). What is mz37
A. 616
B. 78.
C - 65 degrees
D 90 degrees