Hey there!!
In the figure, we have two angles. And the sum of these both angles is mentioned as 134°.
Angle ABC is (4x-1)° and Angle CBD is (6x+5)°
Angle ABC + Angle CBD = 134°
... 4x - 1 + 6x + 5 = 134
... 10x + 4 = 134
... 10x = 134-4
... 10x = 130
... x = 130 ÷ 10
... x = 13
Now, we will have to find the angle ABC and the angle ABC is given as 4x-1.
Hence, angle A =
... 4(13)-1
... 52-1
... 51.
Hence, the required answer is 51°.
Hope my answer helps!