Question

PROPERTIES OF TRIANGLES 1. The measure of three angles of a triangle are in the ratio 5 : 3: 1. Find the measures of these angles .

Answer 1

Step-by-step explanation:

the sum of the triangles angle of all triangles 180 degrees

therefore measure of

first angle=5×x

=5x

second angle=3x

third angle=1x or x

therefore first angle+second angle +third angle =180 degrees

5x+3x+x=180

9x=180

x=180/9

x=20

first angle=5×20

=100 degrees

second angle=3×20

=60degrees

third angle=1×20

=20 degrees

Answer 2

Answer:

100°,60° & 20°

Step-by-step explanation:

Ratio of angle of a triangle – 5:3:1

let the three angles be in the form of 5x + 3x + x = 180. (angle sum property)

9x = 180

Therefore, x = 180÷9

which is, x = 20°

Now put the value of x

5x = 5 × 20° = 100°

3x = 3 × 20° = 60°

x = 20°

For verification only:

100° + 60° + 20° = 180°

180° = 180°

Since, LHS = RHS

Hence verified.