Answer:
The measure of angle A is 22º.
Explanation:
From Geometry, we know that sum of internal angles in triangles equals 180º. Hence, we construct the following sum:
[tex](5\cdot x + 2) + 6\cdot x + 134^{\circ} = 180^{\circ}[/tex]
[tex]11\cdot x +136^{\circ} = 180^{\circ}[/tex]
[tex]11\cdot x = 44^{\circ}[/tex]
[tex]x = 4[/tex]
In addition, we know that:
[tex]\angle A = 5\cdot x + 2[/tex]
[tex]\angle A = 22^{\circ}[/tex]
The measure of angle A is 22º.
