Find the value of x.

Please help

86 degrees

Step-by-step explanation:

For triangle the sum of angles is equal to 180 degrees

so,

x+(x-35)+43=180

2x -35+43=180

2x = 180-43+35

2x = 172

x = 86

x = 86°

Step-by-step explanation:

Sum of angles in a triangle = 180°

So we'll add up all the angles and equate to 180°

x° + (x - 35)° + 43° = 180°

x° + x° - 35° + 43° = 180°

2x° + 8 = 180°

Subtract 8° from both sides

2x° - 8° + 8° = 180 - 8°

2x° = 172°

x = 172/2

x = 86°

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°