Question

The measure of angles of triangle are x°, (x - 20)°and (x - 40°). Find x. *
1 point
100°
70°
90°
80°​

Answer 1

Question:-

The measure of angles of triangle are x°, (x - 20)°and

(x -40°). Find x.

a)100°

b)70°

c)90°

d)80°

Answer:-

• The value of x is 80°

To find:-

• Value of x

Solution:-

• Sum of all angles in triangle = 180°

$\implies \: x° + ( x - 20)° + (x - 40)° = 180° \\ \\ \implies \:3x - 60 = 180 \\ \\ \implies \:3x = 180 + 60 \\ \\ \implies \:x = \frac{240}{3} \\ \\ \implies \:x = 80°$

Hence,

• The value of x is 80°

The correct option is (d)

Answer 2

GIVEN :-

• The measure of angles of triangle are x°, (x - 20)°and (x - 40)°.

TO FIND :-

• The value of x.

SOLUTION :-

By using angle sum property of triangle we have,

$\\ : \implies \displaystyle \sf \: x ^{ \circ} + (x - 20) ^{ \circ} + (x - 40) ^{ \circ} = 180 ^{ \circ}$

$: \implies \displaystyle \sf \: x ^{ \circ} + x - 20 ^{ \circ} + x - 40 ^{ \circ} = 180 ^{ \circ}$

$: \implies \displaystyle \sf \:3x - 60 = 180 ^{ \circ}$

$: \implies \displaystyle \sf \:3x = 180 ^{ \circ} + 60 ^{ \circ}$

$: \implies \displaystyle \sf \:3x = 240 ^{ \circ}$

$: \implies \displaystyle \sf \:x = \frac{240 ^{ \circ} }{3}$

$: \implies \underline{ \boxed{\displaystyle \sf \: \bold{x = 80 ^{ \circ} }}}$

Hence the required value of x is 80°.