Question

Find the value of the unknown x in the diagram

Answer 1

Value of x is 30°.

For better understanding refer to the Attachment .

According to the Question

It is given that ,

ABC is a triangle in which ➺ ∠A = 2x , ∠B = 90° & ∠C = x

we have to calculate the value of x .

As we know that Sum of all angles in a triangle is 180°

So we will put here the given angle

➺∠A + ∠B + ∠C = 180°

➺ ∠A + ∠C + 90° = 180°

➺ ∠A + ∠C = 180°-90°

➺ ∠A + ∠C = 90°

➺ 2x + x = 90°

➺ 3x = 90°

➺ x = 90°/3

➺ x = 30°

• Hence, the value of x is 30° .

Answer 2

diagram is refer to attachment ⤴️

We have given in this diagram -

An Right angled triangle ( 90° ) with Sides x and 2x

we need to find the value of x

we know that sum of the angels is = 180°

According to the question

Sum of the angels is = 180°

▶️ 90° + 2x + x = 180°

▶️ 90° + 3x = 180°

▶️ 3x = 180° - 90°

▶️ 3x = 90°

▶️ x = 30°

Hence value of x is 30°