Question

if all angles of a triangle are in the ratio of 1:2:7 then find the smallest angle​

Answer 1

Given:-

Angles = 1:2:7

let it be

1x, 2x and 7x

To Find:-

smallest angle

Solution:-

we know

sum of all angles of a triangle is 180°

so,

1x + 2x + 7x = 180°

10x = 180°

x = 18°

By putting x= 18°

1x = 1 x 18 = 18°

2x = 2 x 18 = 36°

7x = 7 x 18 = 126°

Therefore the smallest angle is 1 with 18°.

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Answer 2

Answer:

degree

Step-by-step explanation:

the sum of all side of a triangle is = 180°

the total measurement of angle = 1+2+7 = 10°

the measure of first angle = 180/10x1 = 18°

the measure of second angle is = 180/10x2 = 36°

the measure of third angle is = 180/10x7 = 126°

so, the smallest angle is 18°