Question

17.The angles of a triangle are in the ratio 4:5:6.Two of these angles are 48 degree and 60 degree. Find the third angle.

Answer 1

Step-by-step explanation:

45 is the smallest angle in your triangle.

Explanation:

The sum of the interior angles of a triangle will be 180

°

.

Therefore, think of the ratios of 3:4:5 as variables followed by "x" (3x, 4x, and 5x).

Combine like terms and set the equation equal to 180, the amt. of degrees in a triangle:

123

x

= 180

Now, divide to isolate for

x

:

(

180

12

)

= 15 , so

x

= 15

Now, substitute x for 15 in your variables:

3

x

, 4

x

, and 5

x

3(15), 4(15), and 5(15)

45, 60, and 75 = 180

Therefore, 45 is the smallest angle.

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Answer 2

Step-by-step explanation:

Hope it will help u.......