Question

two angles of a triangle are in the ratio 2 is to 3 and angle is 70 degree find the other two angles of the triangle​

Answer 1

let the 2 angles be 2x and 3x

we know that,

sum of interior angles of triangle=180

2x + 3x + 70 = 180

( angle sum property )

5x + 70 = 180

5x = 180 - 70

5x = 110

x = 110 / 5

x = 22

put the value of x = 22

2 x = 2 x 22

= 44

3 x = 3 x 22

= 66

SO THE ANSWERS IS 44 AND 66

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Answer 2

Answer:

The angles of the triangle are 70°, 44° and 66°.

Step-by-step explanation:

The ratio of two angles = 2 : 3

One of the angles is = 70°

The other 2 angles = ??

Let the angles be as -

• 2x
• 3x

Solving by using the Angle sum property of Triangle.

Angle sum property means that sum of all angles of a triangle sum up and make 180°

$\implies$ 2x + 3x + 70 = 180

$\implies$ 5x + 70 = 180

$\implies$ 5x = 180 - 70

$\implies$ 5x = 110

$\implies$ x = 110/5

$\implies$ x = 22

One angle -

$\implies$ 2x

$\implies$ 2(22)

$\implies$ 44 ......... [ First angle ]

Second angle -

$\implies$ 3x

$\implies$ 3(22)

$\implies$ 66 ......... [ Second angle ]

$\therefore$ The angles of the triangle are 70°, 44° and 66°.