Question

Subject:Mathematics ​

Answer 1

Question :

The angle measure of a triangle are shown in the diagram.

What is the value of x?

Answer :

• value of x is 28°

Explanation :

Given :

• ∠A = 50°
• ∠B = (2x)°
• ∠C = (3x - 10)°

To Find :

• Value of x = ?

Solution :

As, In a triangle measure of all three angles is always 180°.

$\sf : \implies \angle A + \angle B + \angle C = 180\degree$

$\sf : \implies 50\degree + (2x)\degree + (3x - 10)\degree = 180\degree$

$\sf : \implies 50 + 2x + 3x - 10 = 180\degree$

$\sf : \implies 40 + 5x = 180\degree$

$\sf : \implies 5x = 180\degree - 40\degree$

$\sf : \implies 5x = 140\degree$

$\sf : \implies x = \cancel{\dfrac{140\degree}{5}}$

$\sf : \implies x = 28\degree$

$\large \underline{\boxed{\bf{x = 28\degree}}}$

Hence, value of x is 28°.

Answer 2

Answer:

x=28°

Step-by-step explanation:

2x+3x-10+50=180

5x+40=180

5x=180-40

5x=140

x=140/5

x=28°