Question

If one angle of a triangle is 1000 and the other angles are in the ratio of 2:3, find the angles.​

Answer 1

Answer:-

Given:

Measure of one angle of a triangle = 100°

Ratio of measures of 2nd & 3rd angles is 2 : 3.

Let the measures of other two angles be 2x , 3x.

We know that,

Sum of measures of three angles of a triangle = 180°

→ 100° + 2x + 3x = 180°

→ 5x = 180° - 100°

→ 5x = 80°

→ x = 80/5

→ x = 16

Therefore,

• 2nd angle = 2x = 2(16) = 32°
• 3rd angle = 3x = 3(16) = 48°

Answer 2

Given:-

• The measurement of one angle = <100

• Given the ratio of their angles of 2nd and 3rd side = 2:3

To Find:-

• The measurement of all angles in the triangle.

Solution :-

We Know that all sides angles of triangle add upto 180°

• Let the 2nd side = 2x and 3rd side be = 3x

According to the Angle sum property of Triangle = 180° So,

• 100°+2x+3x = 180°

• 100+5x = 180°

• 5x = 180-100

• 5x = 80

• x = 80/5

• x = 16

We get x = 16 so lets substitute in The ratio of sides

• 2nd angle = 2x = 2*16 = 32°

• 3rd angle = 3x = 3*16 = 48°

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