Question

What is the measure of angle y?

Answer 1

y = 79

Explanation:

∠ v and 60° are vertically opposite angles and are congruent , then

v = 60

51° , w, 110° lie on a straight line and sum to 180° , that is

51 + w + 110 = 180

161 + w = 180 ( subtract 101 from both sides )

w = 19

the sum of the 3 angles in a triangle = 180° , so

x + v + w = 180 , that is

x + 60 + 19 = 180

x + 79 = 180 ( subtract 79 from both sides )

x = 101

x and y are adjacent angles on a straight line and sum to 180° , then

x + y = 180

101 + y = 180 ( subtract 101 from both sides )

y = 79

Answer 2

Answer: 79°

Explanation:

A straight line is equivalent to 180 degrees. Looking at the bottom right of the figure, the angles 110, 51, and 'w' must add up to form 180 degrees:

`110+51+w=180`

`161+w=180`

`w=19`

Since the angle 60 degrees and the angle 'v' share the same vertex, it must follow that they are equal to each other. We can find the angle 'x' knowing that the sum of the angles inside a triangle add up to 180 degrees:

`x+60+19=180`

`x+79=180`

`x=101`

Now, the angles involving 'x' and 'y' form a straight line and must add up to 180 degrees:

`x+y=180`

`101+y=180`

`y=79`