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 angle is 4:5,find the angles of the triangle.

Answer 1

Hi,

Here is your answer

Given:

First angle+Second angle=Third angle

Ratio of first angle to second angle=4:5

To Find:

All the three angles of the triangle

Solution:

Let us take the first angle as 4x and second angle as 5x

Hence

Third angle=4x+5x

Sum of all the three angles=180, by angle sum property.

4x+5x+(4x+5x)=180

18x=180

x=10

Hence

First angle=4x=4×10=40°

Second angle=5x=5×10=50°

Third angle=Sum of the other two=40°+50°=90°

Notes:

1. In a triangle, the sum of all the angles are 180°

2. The third side of a triangle is always greater than the sum of the other two sides.

Hope this helps you.

Answer 2

Answer:

90,50 and 40 are the angles measurement

Step-by-step explanation:

let the angles in ratio 4:5 4x and 5x respectively.

let the angle with the sum of 4x and 5x be 9x.

Angles in a triangle add upto 180.

4x+5x+9x=180

18x=180

x=180÷18

x=10

therefore the three angles 9x, 4x and 5x are 10,40 and 50 respectively

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hope it helps