Blue cassettes hold 45 minutes of music. green cassettes hold 55 minutes
of music. if niko has 16 cassettes containing 830 minutes of music, how
many are blue, and how many are green?
a. 4 blue cassettes and 12 green cassettes
o
b. 2 blue cassettes and 14 green cassettes
o
c. 3 blue cassettes and 13 green cassettes
o
d. 5 blue cassettes and 11 green cassettes
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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°.