find the value of (x+y)
Attached Figure / Diagram
A
215°
B
70°
C
135°
D
145°
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
sum of angle in a straight line = 180^\circ
35 + m = 180
m = 180 - 35 = 145^\circ
Corresponding angles are congruent i.e equal to each other
Angle X and M are congruent = 145
sum of angle in a straight line = 180^\circ
110 + n = 180
m = 180 - 110 = 70^\circ
Angle Y and N are congruent = 70^\circ
\(\therefore\) ( x + y) = ( 145 + 70)^\circ
(x + y) = 215^\circ
Source: WAEC / JAMB / NECO Classroom Archive (Record #61422)