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Oksanka [162]
3 years ago
15

Find the measure of angle ABC. A. 124 B. 97 C. 56 D. 51

Mathematics
2 answers:
nlexa [21]3 years ago
7 0
180-32+15+5 = 3x

168/3 = x

X= 56 and now substitute 56 for x and u get ur angles 51 and 97
ss7ja [257]3 years ago
3 0

Answer D. 51

Step-by-step explanation:

Sum of the interior angles of a triangle is up to 180

.: 32+(2x-15) + (x-5) = 180

Group like terms

2x+x =180 - 32 + 15 + 5

When - and + sign cross equal sign it turns to the opposite

3x = 168

x= 168/3

.: X =56

Now put x = 56 in (x - 5)

Angle ABC = 51

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Answer:

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natulia [17]

To find the angles in these problems you have to do one of two things.

1) If we are looking for an interior angle with the exterior angle given, we can find the interior angle by subtracting the exterior angle from 180.

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EX) Interior angle A is 32 because the other angles are 120 and 28. (180 - 120 - 28 = 32)

ALSO, remember that the square is equal to 90 degrees. I've included an answer list for you below.

A = 32

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C = 65

D = 25

E = 37

F = 83

G = 97

H = 97

I = 83

J = 57

K = 40

L = 120

M = 60

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O = 79

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