1 and 2 are complementary angles. 1 and 3 are vertical angles. If m2=52, what is the measure of the SUPPLEMENT to angle 3?

If angle 1 and angle 2 are complementary, then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our

38

That's NOT the final answer.

The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

So that's the

180-38=142

142 is the supplement of angle 3.

Hope it helps! :)

Answered by

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

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