Asked by Carl

A billiard ball bounces off the sides of a rectangular billiards table in such a way that <1 is congruent to <3, <4 is congruent to <6, and <3 and <4 are complementary. If m<1 = 26.5 degrees, find m<3, m<4, m<5.

if m<1 = 26.5 degrees and <1 is congruent to <3, then m<3 = 26.5 degrees

if <3 and <4 are complementary, they'll add up to 90

90 - 26.5 = 63.5

26.5 + 63.5 = 90

so, m<4 = 63.5 degrees

if <4 is congruent to <6, then m<6 = 63.5 degrees

m<1 = 26.5 degrees

m<2 = ?

m<3 = 26.5 degrees

m<4 = 63.5 degrees

m<5 = ?

m<6 = 63.5 degrees

how would i find m<5 and m<2?

since i can't share photos, <1, <2, <3 are in one corner and <4, <5, <6 are in another, in those orders if that helps at all.
Answered by Steve
If the corners of the billiard table are labeled ABCD in order, then are angles 1,2,3 in corner A and angles 4,5,6 in corner C?

Remember you have right triangles formed at both corners of the table.
Answered by Laura
<2=127
<4=63.5