Question

The measure of the angles of a triangle are in the extended ratio 6 : 1 : 5 what is the measure of the largest angle

Answer 1

Answer:

90°

Step-by-step explanation:

For solution open the Picture.

Answer 2

Given :

⬤ Measure of all Angles of Triangle are in the Ratio 6 : 1 : 5 .

To Find :

⬤ Measure of Largest Angle .

Solution :

Let :

• One Angle of Triangle be 6x .
• Second Angle of Triangle be 1x .
• Third Angle of Triangle be 5x .

Now :

As we know that , Sum of all Angles of Triangle is 180 degree . Hence ,

$\bf{6x+x+5x=180^{\circ}}$

12x = 180°

x = 180/12

x = 15

Therefore , The Value of x is 15.

Hence ,

One Angle = 6x

= 6(15)

= 90

Second Angle = x

= 15

Third Angle = 5x

= 5(15)

= 75

Therefore , The three Angles of Triangle are 90° , 15° and 75° .

First Angle (90°) is Largest Angle .