Question

 Can someone solve then explain the process of solving this?

Answer 1

58°

Explanation:

Angle sum property of triangle:

The sum of all angles of a triangle is 180°.

x + 69 + 55 + x + 78 = 180

x + x + 69 + 55 + 78 = 180

Combine like terms,

2x + 202 = 180

Subtract 202 from both sides,

2x = 180 - 202

2x = -22

Divide both sides by 2,

x = -22/2

x = -11

∠A = x + 69

= -11 + 69

`\sf \boxed{\angle A= 58^\circ}`