Inscribed Quadrilateral Theorem Inscribed Quadrilateral Theorem: If quadrilateral is inscribed in a circle, then its opposite angles are supplementary. Note: All
the vertices of the quadrilateral must lie on the circle.
Example 1: Find the indicated measures. Step 1: Determine if the all the vertices of the figure lie on the circle.
(2 +53)
No, not inscribed
R(15y + 17)
Yes, Inscribed
Step 2: Using the Inscribed Quadrilateral theorem, select a pair of opposite
angles and solve for the value y.
(5y + 3)
SPQ
LPQR
O LORS
O ZRSP
P
Step 3: Find the measure of each angle.
a. m SPQ=
b. mzPQR =
C. MZQRS =
d. mZRSP
Notes

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.