In the following regular hexagon, which is 3m + n?

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In the following regular hexagon, which is 3m + n?

A. 155 degrees

B. 162 degrees

C. 158 degrees

D. 125 degrees

In trapezoid STUV, SW is an altitude. Which measure is equivalent to the measure of angle m + n + p if the measure of Angle VSW is 55 degrees?

A. 270 degrees

B. 320 degrees

C. 250 degrees

D. 215 degrees

macabresubwoofer Jan 15, 2020

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2⁺⁰ Answers

+129852

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In a regular hexagon, a vertex angle = 120°

So

3m + 40 = 120 2n - 30 = 120

3m = 80 2n = 150

n = 75

So

3m + n =

80 + 75 =

155°

CPhill Jan 15, 2020

+129852

+3

Second one

Since SW is an altitude....then angles TSW and USW sum to 180 °

And since STUW is a quadrilateral....then....

n + p = 180°

m = 90 - 55 = 35°

So

m + n + p =

35 + 180 =

215°

CPhill Jan 15, 2020

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