Question

the angle of a triangle are in the ratio 5:6:7what are the angle?

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Answer 1

☆ $\LARGE{\bf{\underline{\underline{\ Solution}}}}$ ☆

Ratio of the angles of triangle = 5:6:7

→ Let :

First Angle = 5x

Second Angle = 6x

Third Angle = 7x

→ According to the angle sum property :

5x + 6x + 7x = 180

⇒ 11x + 7x = 180

⇒ 18x = 180

⇒ x = 180/18

⇒ x = 10

→ Therefore, the angles will be :

First angle = 5x = 5 × 10 = 50°

Second angle = 6x = 6 × 10 = 60°

Third angle = 7x = 7 × 10 = 70°

Answer 2

Answer:

50

Explanation:

Let x represent the scale factor, the ratios are multiplied by:

5

x

°

+

6

x

°

+

7

x

°

=

180

°

18

x

°

=

180

°

x

=

10

Smallest Angle

5

x

°

=

5

(

10

)

°

=

50

°

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