Triangle PST has a midsegment at QR and segment QR is parallel to segment ST. 2(x-1)
R
36
What is the measure of side ST?
0 24 units
18 units
10 units
0 36 units
Okay

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

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°.

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6: 4= 3/2

18: 8= 9/4

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