Question :
The angle measure of a triangle are shown in the diagram.
What is the value of x?
Answer :
Explanation :
Given :
- ∠A = 50°
- ∠B = (2x)°
- ∠C = (3x - 10)°
To Find :
Solution :
As, In a triangle measure of all three angles is always 180°.
[tex] \sf : \implies \angle A + \angle B + \angle C = 180\degree[/tex]
[tex] \sf : \implies 50\degree + (2x)\degree + (3x - 10)\degree = 180\degree[/tex]
[tex] \sf : \implies 50 + 2x + 3x - 10 = 180\degree[/tex]
[tex] \sf : \implies 40 + 5x = 180\degree[/tex]
[tex] \sf : \implies 5x = 180\degree - 40\degree[/tex]
[tex] \sf : \implies 5x = 140\degree[/tex]
[tex] \sf : \implies x = \cancel{\dfrac{140\degree}{5}}[/tex]
[tex] \sf : \implies x = 28\degree[/tex]
[tex] \large \underline{\boxed{\bf{x = 28\degree}}}[/tex]
Hence, value of x is 28°.
