Question

the measures of angles of a triangleare in ratioof 5:6:7. find the measures​

Answer 1

Answer:

Let x represent the scale factor, the ratios are multiplied by: 5x°+6x°+7x°=180° 18x°=180° x =10. Smallest Angle 5x°=5(10)°=50°.

Answer 2

Question:-

the measures of angles of a triangleare in ratioof 5:6:7. find the measures.

Answer:-

• First angle = 50°
• Second angle = 60°
• Third angle = 70°

To find:-

• All angles of triangle

Solution:-

• Sum of all angles of triangle = 180°

Put x in ratio:

1. 5x
2. 6x
3. 7x

$\implies \: 5x + 6x + 7x = 180$

$\implies \:18x = 180$

$\implies \:x = \frac{18 0 }{18}$

$\implies \:x = 10$

• The value of x is 10°

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ANGLES OF TRIANGLE:-

1. First angle = 5x = 5×10 = 50°
2. Second angle = 6x = 6×10 = 60°
3. Third angle = 7x = 7×10 = 70°