Question

The Measure of angle of a triangle are x°,(x-20°),(x-40°).Find the Measure of each angle
​

Answer 1

Answer:

∴x=100

o

Step-by-step explanation:

The sum of measures of angles of a triangles is 180 degrees

∴(x−40)+(x−20)+(x/2−10)=180

o

∴5x/2−70

o

=180

o

∴5x/2=250

o

∴5x=500

o

∴x=100

o

Answer 2

★ Correct question

The measure of angle of a triangle are x° , (x+20)° and (x+40)°. Find The measure of each angle.

★ Given

» Measures of angle of a triangle :

• x°
• (x+20)°
• (x+40)°

★ To find

» Measure of each angle

★ Formula used

→ Sum of angles of a triangle = 180°

★ Solution

Here we got the unknown angles of a triangle

We know that , The sum of the angles in a triangle = 180°

So by adding the angles in a triangle and equating it with 180° we would get the unknown angles.

→ x° + (x + 20)° + ( x + 40 )° = 180 °

» (3x + 60)° = 180°

» 3x = 120°

→ x = 40°

By substituting the value of x we can get the angles.

• x° = 40°
• (x+20)° = 60°
• (x+40)° = 80°

Therefore the angles of the triangle are 40° ,60° and 80°

_____________________