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Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

Step-by-step explanation:

a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.

b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

$47+2x-5=180\\47-5+2x=180\\42+2x=180\\42-42+2x=180-42\\2x=138\\\frac{2x}{2} =\frac{138}{2} \\x=69$

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