Answer:
Option A
Step-by-step explanation:
Hey there!
From the given figure;
Angle ABE = 90°.
And angle ABD = [(5x+3)° +(3x+7)°]
To find : angle ABC.
Now,
Angle ABD + Angle ABE = 180° [Being linear pair].
or, 90° + [(5x+3)° +(3x+7)°]= 180°
or, (5x+3)° +(3x+7)°= 90°
or, 8x + 10° = 90°
or, 8x = 80°
Therefore, X= 10°.
Now, Angle ABC = (5x + 3)°
= (5*10+3)°
= 53°
Therefore, the measure of angle ABC is 53°.
Hope it helps!
