The angle measure of m∠ACB (x°) is 39°.
Step-by-step explanation:
Let us name the joining points as ABC and ABC forms triangle with extended lines. (refer the image)
We have to find the value of m∠ACB = x°.
the given data,
m∠A=68°.
m∠B =107°.
To find m∠CAB,
Let us consider that AB is a line traversed by a line C intersecting at A. (refer diagram)
Using the theorem of corresponding angles theorem, when a line intersects another line, then the angles opposite each other is equal to each other.
m∠A=m∠CAB.
m∠CAB =68°.
To find m∠ABC,
Let us consider AB is a line.(refer diagram)
Using the straight line proof, the total of angles in a straight line is 180°.
Thus m∠ABC+m∠B=180°.
m∠ABC+107°=180°.
m∠ABC=180°-107°.
m∠ABC=73°.
Finally we have to find the value of x° that is m∠ACB.
Using the interior angles proof, the sum of interior angles of triangle is 180°.
⇒m∠ABC+m∠CAB+m∠ACB=180°.
73°+68°+m∠ACB=180°.
141°+m∠ACB=180°..
m∠ACB=180°-141°.
m∠ACB=39°.
Thus the angle measure of m∠ACB (x°) is 39°.
