Question

14 The sum of two angles is 90 degrees. The angles are in the ratio :3. Find the measure of each angle.
15 The sum of the angles of a triangle is 180 degrees and the angles are in the ratio 1:2:3. Find the
measure of each angle.
16 Divide 1500 between Aania and Binu in the ratio 5:7. How much will each of them get?​

Answer 1

14) please write ratio correctly
15) since they are in ratio 1:2:3
Therefore we can say that x+2x+3x=180 degree (reason:S.A.P)
6x=180degree
X=30 degree
1st angle: 30
2nd angle: 2*30=60
3rd angle: 3*30=90
16) Let the amount given to aania be 5x
And amount given to binu be 7x
Total cost= 1500
Therefore we can say, 5x+7x=1500
12x=1500
X=125
Cost given to aania= 125*5= ₹625
Cost given to binu= 125*7= ₹875
Hope it helps :)

Answer 2

Answer:

question 14  =36° and 54°

question 15  =30 60 90

question 16 = Anju gets rupees 625 and

Manoj gets rupees 875.

Step-by-step explanation:

14  Let the one angle be 2x

Other angle be 3x

According to the question

2x+3x=90°  

⇒5x=90°  

⇒x=  90°/5

​⇒x=18°  

One angle =2x

2×18°   =36 °

Another angle =3x

3×18°  =54°  

The angles are 36°  & 54°

question 15 = Let's denote the smallest angle as X degrees.  Then the other two angles are 2X and 3X.

X + 2X + 3X = 180

6X = 180

X = 30

It is a 30, 60, 90 triangle.

question 16 Let the amount they get be x. So,

5x+7x=1500

12x=1500

x=1500/12

=125.

So the amount each one will get is

5x=5*x=5*125=625

7x=7*x=7*125=875

Therefore Anju gets rupees 625 and

Manoj gets rupees 875.

Hope it's correct.