Question

Given the triangle below, what is the value of x?

A. x = 33

B. x = 11

C. x = 22

D. x = -1

Answer 1

`{\boxed{\sf {x = 22 }}}`

Explanation:

The given triangle is right angled triangle.

`\sf \therefore \angle B = 90\degree`

sum of all angles of triangle is equal to 180°

Adding all the angles

`\sf 31 + 2x + 15 + 90 = 180`

`\sf 31 + 2x + 105 = 180`

`\sf 136 + 2x = 180`

Subtract 136 from both sides

`\sf 2x = 44`

dividing both sides by 2

`{\boxed{\bf{x = 22}}}`

Therefore, x = 22