in supplementary angle,if first angle is 20less than second angle ,then the larger angle is equal to?
Answers
Let the first angle be x° and the second angle be (x+20)°.
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]or, 2x + 20 = 180
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]or, 2x + 20 = 180or, 2x = 180-20
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]or, 2x + 20 = 180or, 2x = 180-20or, 2x = 160
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]or, 2x + 20 = 180or, 2x = 180-20or, 2x = 160or, x = 160/2
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]or, 2x + 20 = 180or, 2x = 180-20or, 2x = 160or, x = 160/2or, x = 80°
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]or, 2x + 20 = 180or, 2x = 180-20or, 2x = 160or, x = 160/2or, x = 80°
Let the first angle be x° and the second angle be (x+20)°.x+x+20 = 180 [Since it is given a complementary angle]or, 2x + 20 = 180or, 2x = 180-20or, 2x = 160or, x = 160/2or, x = 80° Therefore, the first angle is 80° and the second angle is (80+20)°=100°
Answer:
100
Step-by-step explanation:
let the smaller angle be x,
and larger angle be y.
We know that sum of supplementary angles is 180°,
therefore,
x+y= 180°
x= y-20°(given)
putting the value of x as y,
y-20°+y= 180°
2y-20°= 180°
2(y-10°)= 180°
y-10°= 90°
y=100°
and x= 80° (y-20°)