100 POINT PLS ACTUALLY NSWER PROPERLY ND NOT JUST FOR POINTS TY
Standard: HSG.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

You may see a question like this on the SBAC.

Options:

68°

112°

158°

136°

100 POINT PLS ACTUALLY NSWER PROPERLY ND NOT JUST FOR POINTS TY Standard HSGCA3 Construct the inscribed and circumscribed circles of a triangle and prove proper class=

Respuesta :

Answer:

i THINK its 112 degrees

the test is optional so if it's wrong it wont affect you

The measure of angle QPS in the cyclic quadrilateral is; 112°

What is the angle in the quadrilateral?

In theorems for cyclic quadrilaterals, we know that the sum of the opposite angles of a quadrilateral in a circle is 180°, provided that the quadrilateral does not cross itself.

Now, angle QPS is opposite to 68° in the cyclic quadrilateral. This means thst;

∠QPS + 68° = 180°

∠QPS = 180 - 68

∠QPS = 112°

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