Answer:
141
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
We know z+70 = 180 since they form a straight line
z = 110
z = 1/2 ( 79+w)
110 = 1/2 ( 79+w)
220 = 79+w
220-79 = w
141 =w
The value of w is found to be 141.
The line segment connecting any two locations on a circle's circumference is referred to as the chord of the circle.
It should be emphasised that the diameter is the circle's longest chord, which runs through its centre.
When two chords cross inside of a circle, the angle's measure is equal to the product of the lengths of the intersecting arcs and the vertical angle, divided by two.
angle formed by two chords = 1/2 (sum of intercepted arcs)
Estimate angle z by linear pair.
z + 70 = 180
z = 110
z is the angle formed between two chord of the circle.
Thus,
z = 1/2( 79 + w) {sum of intercepted arcs}
110 = 1/2( 79 + w)
Further solving,
w = 141
Therefore, the value of arc w comes out to be 141.
To know more about linear pair, here
https://brainly.com/question/8720873
#SPJ2
