Question

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.

Answer 1

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.

Answer 2

<2=127
<4=63.5