In the figure, x is an exterior angle to triangle abc. (a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. (b) what is m

Hello from MrBillDoesMath!

a) See Discussion below

b) Don't know what "m" refers to

Discussion:

Part a)

A triangle contains 180 degrees.

A + B + C = 180   (*)

where A is the angle inside the triangle.

From the diagram

B +C =   62 + 78 = 140

Substituting this in (*) gives

A + (140) = 180      => subtract 140 from both sides

A = 180 - 140 = 40

Now a line has 180 degrees so x + A = 180. But A = 40 (shown above) so x+ 40 = 180, or x = 140. That is, x  = 140 - the sum of the measures of the two nonadjacent interior angles

Part b)

I can't answer this part is it is unclear what "m" refers to. Sorry.

Thank you,

MrB

need more info

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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