Question

If all the three angles of a triangle are x, x+10, x+20, then what is the value of x?

(a) 50°

(b) 60°

(c) 70°

(d) 80°​

Answer 1

Answer :

[ Option (a) 50 ] is the correct option. The value of x is 50.

Step-by-step explanation :

To Find,

• The value of x ......?

Solution,

Given that,

The all three angles of triangle,

• x
• x + 10
• x + 20

Figure,

• Refer the attachment.

Therefore,

( x ) + ( x + 10 ) + ( x + 20 ) = 180° .... angle sum property of triangle.

➜ x + x + 10 + x + 20 = 180

➜ 3x + 10 + 20 = 180

➜ 3x + 30 = 180

➜ 3x = 180 - 30

➜ 3x = 150

➜ x = 150 / 3

➜ x = 50 ★

The value of x is 50.

Hence, Option (a). is the correct option.