2 Answers

Kermatt · Answer 1 · 2022-06-27T17:03:56+0000

Question :

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

What is the value of x?

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

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

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

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

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

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

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

$\sf : \implies x = \cancel{(140\degree)/(5)}$

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

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

Hence, value of x is 28°.