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erastovalidia [21]
3 years ago
5

What is the measure of Angle E?

Mathematics
1 answer:
olasank [31]3 years ago
4 0

Answer:

<E =122

Step-by-step explanation:

The sum of the angles of a triangle is 180

<D + < E + < F = 180

25 + <E + 33 = 180

Combine like terms

58 + <E = 180

<E = 180 -58

<E =122

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Answer:

A = 114°, B = C = 33°

Step-by-step explanation:

The triangle relationships let you write two equations:

A+B+C = 180

B=C

Substituting the expressions for A, B, and C, you have ...

(x+7y+41) +(2y+13) +(6x+15) = 180

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And the second equation gives ...

(2y+13) = (6x+15)

6x -2y =-2

3x -y = -1

Now, we can add 9 times this second equation to the first to eliminate the y-variable.

(7x +9y) +9(3x -y) = (111) +9(-1)

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A = 180 -2·33 = 114

The angles in the triangle are (A, B, C) = (114°, 33°, 33°).

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We can of course check our answer by adding 170+340 which equals our original investment of 510.

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