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melamori03 [73]
3 years ago
7

PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!QUESTION ATTACHED

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
                                           <u>10x- 9  =  9x</u>

Subtract  9x  from each side:  x - 9 = 0

Add  9  to each side:              <u> x     =  9</u>

Now that we know what 'x' is, we can find the size of Angles-5  and -7 .

Angle-7  =  9x  = 81° .

Now look at Angle-6 ... the one that's the answer to the problem.

Angle-6  and -7 together make a straight line, so they must
add up to 180°.

                                     <u>Angle-6  +  81°  =  180°</u>

Subtract 81° from each side:    Angle-6  =  <em>99° .</em>


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