3 years ago

Can someone please help, I will give brainiest. If possible explain please.

Mathematics

1 answer:

lesantik [10]3 years ago

7 0

Step-by-step explanation:

The angles (8x + 28) and (4x - 7) are supplementary to each other so we can write

$(8x + 28) + (4x - 7) = 180 \Rightarrow 12x + 21 = 180$

$x = 13.25$

Also, note that the angle (4x - 7) and $\angle{TQS}$ are vertical angles, which means that they are equal to each other. Therefore,

$\angle{TQS} = 4x - 7 = 4(13.25) - 7 = 46°$

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