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2 years ago

9

Please help! what are the angle measures of a and s?

2 answers:

Svetach [21]2 years ago

8 0

Q = 89
S = 153

Because the two sides are parallel the angles on the two sides of the parallel lines in the shape are co-interior (angles add to 180)

So we can do 180 - 91 = 89 to find angle Q

And 180 - 27 = 153 to find angle S

Hope that helps

Keith_Richards [23]2 years ago

3 0

Answer:

Q=91, S = 153

Step-by-step explanation:

QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.

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Step-by-step explanation:

For this case we have a right triangle and we can use the Pythagoras Theorem and using the info given by the triangle we can set up the following equation:

$(x+11)^2 = (x+3)^2 +16^2$

And if we solve this equation for x we got:

$x^2 +22x +121 = x^2 +6x +9 +256$

We can cancel $x^2$ in both sides and we have this:

$22x -6x= 256+9-121 =144$

And then we got:

$16 x= 144$

$x =\frac{144}{16}= 9$

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

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