Question

15. One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles
is 4: 5, find the angles of the triangle.
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Answer 1

Answer:

The angles of triangle are 90°, 40° and 50°.

Step-by-step explanation:

Let the angles if the triangle be x,yand z.

One of the angles is equal to sum if other two angles.

x=y+z---------☆

We know that,

x+y+z=180°

x+x=180° (from ☆)

2x=180°

x=90°

Ratio if other two angles is 4:5

So, let y=4a and z=5a

From ☆

x=y+z

90°=4a+5a

90°=9a

a=10°

y=4a

y=4×10°

y=40°

z=5a

z=5×10°

z=50°

HOPE THIS BRING A SMILE IN YOUR FACE

Answer 2

Answer:

Step-by-step explanation:

Let 1st angle = 4x

2nd angle = 5x

3rd angle is the sum of the first 2 or 4x+5x = 9x

remember that the sum of the angles of a triangle is 180

4x + 5x + 9x = 180

18 x = 180

x=10

The 1st angle = 4x = 40

2nd angle = 5x =50

3rd angle =9x = 90

check 40 +50 +90 = 180

ratio of 1st 2 angles is 40/50 = 4/5

Hope it helps