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Roman55 [17]
3 years ago
13

Please help with #12

Mathematics
1 answer:
Helga [31]3 years ago
6 0

Answer:

ACD = 76

Step-by-step explanation:

The sum of the interior angles of a triangle total 180 degrees.

The sum of the two angles making up a straight line also total 180 degrees.

In the triangle, we have A + B + C = 180.

On the straight line, we have C + C^{1} = 180, so C = 180 - C^{1}

We now have A + B + (180 - C^{1}) = 180

A + B - C^{1} = 0

(4x + 15) + 21 - (7x + 6) = 0

3x = 30

x= 10

Therefore ACD = 7x + 6 = 76

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