Question

Use the diagram to answer the following



Identify two pairs of adjacent angles

Identify a pair of vertical angles

b + c =
degrees

If the sum of the measures of a and b is 280 degrees, what is the measure of angle c?
degrees

Answer 1

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Answer 2

Answer:

Two pairs of adjacent angles: (a°&c°) and (c°&b°)

Vertical Angle: (a°&b°)

b°+c°=180° (They lie on the same line, so they are supplementary)

a+b=280°

x+x=280° (Vertically opposite angles are equal. a=b=x)

2x=280°

x=280°/2

x=140°

Now, we now that b+c=180°

140°+c=180° (Put the value of b i.e. b=X=140°)

c=180°-140°

c=40°