Question

in a triangle , if the second angle in2 times the first angle and the third angle is 3 times the first angle . Find angle of the triangle. plz give the answer detailly​

Answer 1

Answer:

For a triangle, we know that the sum of the interior angles must equal 180°.

Let x=the 1st angle

y=the 2nd angle

z=the 3rd angle

We have 3 unknowns, we must have 3 equations to solve for it.

Eq. I: x+y+z=180°

Eq. II: y=2x

Eq. III: z=3x

We can substitute the y and z values from Eq. II & III into Eq. I and solve for x:

x+y+z=180° Eq. I

x+2x+3x=180° substitute the values for y & z

6x=180° simplify

x=180°/6 divide both sides by 6 to isolate x

x=30° solve for x

Use this value of x to solve for y in Eq. II and z in Eq. III:

y=2x Eq. II

y=2(30) substitute for x

y=60° solve for y

z=3x Eq. III

z=3(30) substitute for x

z=90° solve for z

The answer is 30°, 60° and 90°.

Step-by-step explanation:

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