Question

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 of the triangle is 4.5. find the angles of the triangles .



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Answer 1

Answer:

4x+5x+4x+5x=180

18x=180

x=10

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Answer 2

Step-by-step explanation:

Given :-

One of the angles of a triangle is equal to the sum of the other two angles. The ratio of the other two angles of the triangle is 4:5.

To find :-

Find the angles of the triangles?

Solution :-

Given that

The ratio of the other two sides of a triangle = 4:5

Let they be 4X° and 5X°

Given that

One of the angles of a triangle is equal to the sum of the other two angles.

One of the angle = 4X°+5X° = 9X°

We know that

Angle Sum Property in a triangle

=> 4X° + 5X° + 9X° = 180°

=> 18X° = 180°

=> X° = 180°/18

=> X° = 10°

The angles are 4X° = 4×10° = 40°

5X° = 5×10° = 50°

and

9X° = 9×10° = 90°

Answer:-

The angles of the given triangle are 40°,50°,90°

Used formulae:-

Angle Sum Property:-

The sum of the three angles in a triangle is 180°