Question

if (3a+5)° and (2a-25)° are supplementary angles, then smaller angle is :

a) 30°
b) 55°
c) 80°
d) 85°

[ PLZ EXPLAIN IT ALSO ] ​

Answer 1

Answer:

(b) 55°

Step-by-step explanation:

(3a+5)°+(2a-25)°=180°(Supplementary Angles)

3a+5+2a-25=180°

5a-20=180°

5a=180+20

5a= 200°

a=200/5

a= 40°

(3a+5)°= 40×3+5

=120°+5

= 125°

(2a-25)°= 40×2-25

= 80°-25

= 55°

Therefore, the correct option is (b) 55°.