Copy the shape and fill in the missing angle. Sow the work. Thanks.

x=12

Step-by-step explanation:

Hello There!

So first things first, the angle labeled 4x+17 and the blank interior angle are vertical angles meaning that they are congruent

So now we can solve for x

Remember all of the angles in a triangle add up to equal 180 so

180 = x + 23 + 80 + 4x + 17

step 1 combine like terms

4x+x=5x

23+17+80=120

now we have

180=120+5x

step 2 subtract 120 from each side

180-120=60

now we have

60=5x

step 3 divide each side by 5

60/5=12

we're left with x=12

∠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°

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step-by-step explanation:

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