Question

If the angle of a triangle are 75 degree 55 degree and x degree write the equation to find x

Answer 1

• Value of x is 50°.

Step-by-step explanation:

Given:-

• Angles of triangle are 75° , 55° and x°.

To find:-

• value of x.

Solution:-

We know that,

Sum of all angles of triangle is 180°.

So,

➝ 75° + 55° + x° = 180°

➝ 130° + x° = 180°

➝ x° = 180° - 130°

➝ x° = 50°

Verification:-

➝ 75° + 55° + x° = 180°

• Put x = 50°

➝ 75° + 55° + 50° = 180°

➝ 180° = 180°

Hence, Verified.

Therefore,

Value of x is 50°.

Answer 2

Question-

If the angle of a triangle are 75°, 55°, and x°, write the equation to find x.

Given-

The measure of the angles are-

• 75°

• 55°

• x°

To find-

The value of x.

Solution-

We know that:

$\boxed{Sum\:of\:all\:angles\:of\:∆=180°}$

So, we can say-

$x + 75 + 55 = 180$

$➳\:x + 130 = 180$

Subtract 130 from both sides.

$➳\:x + 130 - 130 = 180 + 130$

$➳\:x = 50\:\:\:{\large\red{★}}$

Therefore-

The value of x is 50.

Final answer-

x = 50

Confused??

Verification-

$x + 75 + 55 = 180$

Substitute x with 50.

$➳\:50 + 75 + 55 = 180$

$➳\:180 = 180$

So, L.H.S = R.H.S.

Hence, verified.

Done

Hope this helps you.

Have a nice day.