Question

18.) Two angles of a triangle are in the ratio 4:5. If the sum of these angles is equal to the third
angle, find the angles of the triangle.

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Answer 1

hi

let the two angle be 4x and 5x

then third is 9x

4x+5x+9x=180

x=10

angle 1=40

angle 2=50

angle 3=90

Answer 2

Answer:

Let the measure of two angles be 4x and 5x and the third one is ( 4x + 5x ).

We know that ;

Sum of angles of triangle = 180°

⇒ 4x + 5x + 4x + 5x = 180

⇒ 18x = 180

⇒ x = 180/18

⇒ x = 10

Therefore, the angles are ;

• 4x = 4 * 10 = 40°
• 5x = 5 * 10 = 50°
• 9x = 9 * 10 = 90°